153036864 has 140 divisors (see below), whose sum is σ = 463038444. Its totient is φ = 49959936.

The previous prime is 153036859. The next prime is 153036869. The reversal of 153036864 is 468630351.

153036864 is a `hidden beast` number, since 1 + 530 + 3 + 68 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (153036859) and next prime (153036869).

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 95883264 = 7560^2 + 9792^2 .

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 (153036869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274474 + ... + 275030.

Almost surely, 2^153036864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153036864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231519222).

153036864 is an abundant number, since it is smaller than the sum of its proper divisors (310001580).

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

153036864 is an equidigital number, since it uses as much as digits as its factorization.

153036864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 615 counting only the distinct ones).

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

The square root of 153036864 is about 12370.8069259851. The cubic root of 153036864 is about 534.8910763199.

The spelling of 153036864 in words is "one hundred fifty-three million, thirty-six thousand, eight hundred sixty-four".