157665420 has 288 divisors, whose sum is σ = 572006400. Its totient is φ = 35925120.

The previous prime is 157665413. The next prime is 157665427. The reversal of 157665420 is 24566751.

It is a happy number.

157665420 is a `hidden beast` number, since 1 + 57 + 66 + 542 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (157665413) and next prime (157665427).

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

It is not an unprimeable number, because it can be changed into a prime (157665427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1241397 + ... + 1241523.

Almost surely, 2^157665420 is an apocalyptic number.

157665420 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 157665420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286003200).

157665420 is an abundant number, since it is smaller than the sum of its proper divisors (414340980).

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

157665420 is a wasteful number, since it uses less digits than its factorization.

157665420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 157665420 is about 12556.4891589966. The cubic root of 157665420 is about 540.2301488099.

The spelling of 157665420 in words is "one hundred fifty-seven million, six hundred sixty-five thousand, four hundred twenty".