149351040 has 320 divisors, whose sum is σ = 553908960. Its totient is φ = 38320128.

The previous prime is 149351021. The next prime is 149351047. The reversal of 149351040 is 40153941.

149351040 is a `hidden beast` number, since 149 + 3 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×149351040³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 149350995 and 149351013.

It is not an unprimeable number, because it can be changed into a prime (149351047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2229087 + ... + 2229153.

Almost surely, 2^149351040 is an apocalyptic number.

149351040 is a gapful number since it is divisible by the number (10) 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 149351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276954480).

149351040 is an abundant number, since it is smaller than the sum of its proper divisors (404557920).

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

149351040 is an equidigital number, since it uses as much as digits as its factorization.

149351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 149351040 is about 12220.9263151367. The cubic root of 149351040 is about 530.5619292240.

The spelling of 149351040 in words is "one hundred forty-nine million, three hundred fifty-one thousand, forty".