157055459328 has 280 divisors, whose sum is σ = 481955159532. Its totient is φ = 50928943104.

The previous prime is 157055459261. The next prime is 157055459357. The reversal of 157055459328 is 823954550751.

157055459328 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 5 + 545 + 93 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 154769854464 + 2285604864 = 393408^2 + 47808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24548226 + ... + 24554622.

Almost surely, 2^157055459328 is an apocalyptic number.

157055459328 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 157055459328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240977579766).

157055459328 is an abundant number, since it is smaller than the sum of its proper divisors (324899700204).

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

157055459328 is an frugal number, since it uses more digits than its factorization.

157055459328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472 (or 6439 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 157055459328 in words is "one hundred fifty-seven billion, fifty-five million, four hundred fifty-nine thousand, three hundred twenty-eight".