157812738048 has 576 divisors, whose sum is σ = 547340976000. Its totient is φ = 44495142912.

The previous prime is 157812738023. The next prime is 157812738049. The reversal of 157812738048 is 840837218751.

157812738048 is a `hidden beast` number, since 1 + 578 + 1 + 27 + 3 + 8 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 157812737985 and 157812738003.

It is not an unprimeable number, because it can be changed into a prime (157812738049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310044418 + ... + 310044926.

It is an arithmetic number, because the mean of its divisors is an integer number (950244750).

Almost surely, 2^157812738048 is an apocalyptic number.

157812738048 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 157812738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273670488000).

157812738048 is an abundant number, since it is smaller than the sum of its proper divisors (389528237952).

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

157812738048 is an frugal number, since it uses more digits than its factorization.

157812738048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 157812738048 in words is "one hundred fifty-seven billion, eight hundred twelve million, seven hundred thirty-eight thousand, forty-eight".