157149949920 has 96 divisors (see below), whose sum is σ = 501803582112. Its totient is φ = 41332580352.

The previous prime is 157149949897. The next prime is 157149949927. The reversal of 157149949920 is 29949941751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×157149949920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157149949927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2207397 + ... + 2277476.

It is an arithmetic number, because the mean of its divisors is an integer number (5227120647).

Almost surely, 2^157149949920 is an apocalyptic number.

157149949920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157149949920 is an abundant number, since it is smaller than the sum of its proper divisors (344653632192).

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

157149949920 is a wasteful number, since it uses less digits than its factorization.

157149949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484964 (or 4484956 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 60.

The spelling of 157149949920 in words is "one hundred fifty-seven billion, one hundred forty-nine million, nine hundred forty-nine thousand, nine hundred twenty".