156753536268 has 192 divisors, whose sum is σ = 437510126592. Its totient is φ = 42755973120.

The previous prime is 156753536249. The next prime is 156753536287. The reversal of 156753536268 is 862635357651.

It is a happy number.

156753536268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (156753536249) and next prime (156753536287).

It is a super-2 number, since 2×156753536268² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29792758 + ... + 29798018.

It is an arithmetic number, because the mean of its divisors is an integer number (2278698576).

Almost surely, 2^156753536268 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 156753536268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218755063296).

156753536268 is an abundant number, since it is smaller than the sum of its proper divisors (280756590324).

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

156753536268 is a wasteful number, since it uses less digits than its factorization.

156753536268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5502 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 57.

The spelling of 156753536268 in words is "one hundred fifty-six billion, seven hundred fifty-three million, five hundred thirty-six thousand, two hundred sixty-eight".