157538580120 has 384 divisors, whose sum is σ = 529862860800. Its totient is φ = 40575974400.

The previous prime is 157538580071. The next prime is 157538580187. The reversal of 157538580120 is 21085835751.

157538580120 is a `hidden beast` number, since 1 + 5 + 7 + 53 + 8 + 580 + 12 + 0 = 666.

157538580120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 506554765 + ... + 506555075.

It is an arithmetic number, because the mean of its divisors is an integer number (1379851200).

Almost surely, 2^157538580120 is an apocalyptic number.

157538580120 is a gapful number since it is divisible by the number (10) 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 157538580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264931430400).

157538580120 is an abundant number, since it is smaller than the sum of its proper divisors (372324280680).

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

157538580120 is a wasteful number, since it uses less digits than its factorization.

157538580120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 157538580120 in words is "one hundred fifty-seven billion, five hundred thirty-eight million, five hundred eighty thousand, one hundred twenty".