157430880 has 288 divisors, whose sum is σ = 583783200. Its totient is φ = 38486016.

The previous prime is 157430873. The next prime is 157430881. The reversal of 157430880 is 88034751.

157430880 is a `hidden beast` number, since 1 + 574 + 3 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (157430881) 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, 1444266 + ... + 1444374.

It is an arithmetic number, because the mean of its divisors is an integer number (2027025).

Almost surely, 2^157430880 is an apocalyptic number.

157430880 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 157430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291891600).

157430880 is an abundant number, since it is smaller than the sum of its proper divisors (426352320).

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

157430880 is a wasteful number, since it uses less digits than its factorization.

157430880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

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

The square root of 157430880 is about 12547.1462890970. The cubic root of 157430880 is about 539.9621372630.

The spelling of 157430880 in words is "one hundred fifty-seven million, four hundred thirty thousand, eight hundred eighty".