157301902900 has 72 divisors (see below), whose sum is σ = 342861180480. Its totient is φ = 62641824000.

The previous prime is 157301902847. The next prime is 157301902909. The reversal of 157301902900 is 9209103751.

It is a super-2 number, since 2×157301902900² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157301902900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157301902909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30195496 + ... + 30200704.

It is an arithmetic number, because the mean of its divisors is an integer number (4761960840).

Almost surely, 2^157301902900 is an apocalyptic number.

157301902900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157301902900 is an abundant number, since it is smaller than the sum of its proper divisors (185559277580).

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

157301902900 is a wasteful number, since it uses less digits than its factorization.

157301902900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6505 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The spelling of 157301902900 in words is "one hundred fifty-seven billion, three hundred one million, nine hundred two thousand, nine hundred".