157947120 has 60 divisors (see below), whose sum is σ = 530441496. Its totient is φ = 42119040.

The previous prime is 157947103. The next prime is 157947121. The reversal of 157947120 is 21749751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157947121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108966 + ... + 110405.

Almost surely, 2^157947120 is an apocalyptic number.

157947120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157947120 is an abundant number, since it is smaller than the sum of its proper divisors (372494376).

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

157947120 is a wasteful number, since it uses less digits than its factorization.

157947120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219390 (or 219381 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 157947120 is about 12567.7014604899. The cubic root of 157947120 is about 540.5516995300.

The spelling of 157947120 in words is "one hundred fifty-seven million, nine hundred forty-seven thousand, one hundred twenty".