157164480 has 336 divisors, whose sum is σ = 609100128. Its totient is φ = 37171200.

The previous prime is 157164467. The next prime is 157164481. The reversal of 157164480 is 84461751.

It is a happy number.

157164480 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 644 + 8 + 0 = 666.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 902 × 198 × 880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157164481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3833260 + ... + 3833300.

It is an arithmetic number, because the mean of its divisors is an integer number (1812798).

Almost surely, 2^157164480 is an apocalyptic number.

157164480 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 157164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304550064).

157164480 is an abundant number, since it is smaller than the sum of its proper divisors (451935648).

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

157164480 is a wasteful number, since it uses less digits than its factorization.

157164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 157164480 is about 12536.5258345365. The cubic root of 157164480 is about 539.6573958488.

The spelling of 157164480 in words is "one hundred fifty-seven million, one hundred sixty-four thousand, four hundred eighty".