149654736 has 240 divisors, whose sum is σ = 540937600. Its totient is φ = 38776320.

The previous prime is 149654719. The next prime is 149654753. The reversal of 149654736 is 637456941.

149654736 is a `hidden beast` number, since 14 + 96 + 547 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (149654719) and next prime (149654753).

Its product of digits (544320) is a multiple of the sum of its prime divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 149654691 and 149654700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365700 + ... + 366108.

Almost surely, 2^149654736 is an apocalyptic number.

149654736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149654736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270468800).

149654736 is an abundant number, since it is smaller than the sum of its proper divisors (391282864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149654736 is a wasteful number, since it uses less digits than its factorization.

149654736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 432 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 149654736 is about 12233.3452497671. The cubic root of 149654736 is about 530.9213072443.

It can be divided in two parts, 14965 and 4736, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 149654736 in words is "one hundred forty-nine million, six hundred fifty-four thousand, seven hundred thirty-six".