156055128768 has 784 divisors, whose sum is σ = 585271595520. Its totient is φ = 40420892160.

The previous prime is 156055128767. The next prime is 156055128787. The reversal of 156055128768 is 867821550651.

156055128768 is a `hidden beast` number, since 1 + 5 + 6 + 0 + 551 + 2 + 87 + 6 + 8 = 666.

It is a super-2 number, since 2×156055128768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (156055128767) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 434693773 + ... + 434694131.

Almost surely, 2^156055128768 is an apocalyptic number.

156055128768 is a gapful number since it is divisible by the number (18) 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 156055128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292635797760).

156055128768 is an abundant number, since it is smaller than the sum of its proper divisors (429216466752).

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

156055128768 is an frugal number, since it uses more digits than its factorization.

156055128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 156055128768 in words is "one hundred fifty-six billion, fifty-five million, one hundred twenty-eight thousand, seven hundred sixty-eight".