153636480 has 256 divisors, whose sum is σ = 577238400. Its totient is φ = 38486016.

The previous prime is 153636473. The next prime is 153636487. The reversal of 153636480 is 84636351.

153636480 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 3 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (153636473) and next prime (153636487).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (153636487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293499 + ... + 294021.

Almost surely, 2^153636480 is an apocalyptic number.

153636480 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 153636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288619200).

153636480 is an abundant number, since it is smaller than the sum of its proper divisors (423601920).

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

153636480 is a wasteful number, since it uses less digits than its factorization.

153636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 153636480 is about 12395.0183541615. The cubic root of 153636480 is about 535.5887541299.

The spelling of 153636480 in words is "one hundred fifty-three million, six hundred thirty-six thousand, four hundred eighty".