157621464 has 320 divisors, whose sum is σ = 595203840. Its totient is φ = 37791360.

The previous prime is 157621439. The next prime is 157621469. The reversal of 157621464 is 464126751.

157621464 is a `hidden beast` number, since 1 + 576 + 21 + 4 + 64 = 666.

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

Its product of digits (40320) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157621469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12124722 + ... + 12124734.

It is an arithmetic number, because the mean of its divisors is an integer number (1860012).

Almost surely, 2^157621464 is an apocalyptic number.

157621464 is a gapful number since it is divisible by the number (14) 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 157621464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297601920).

157621464 is an abundant number, since it is smaller than the sum of its proper divisors (437582376).

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

157621464 is an equidigital number, since it uses as much as digits as its factorization.

157621464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 157621464 is about 12554.7387069584. The cubic root of 157621464 is about 540.1799400333.

The spelling of 157621464 in words is "one hundred fifty-seven million, six hundred twenty-one thousand, four hundred sixty-four".