157580640 has 336 divisors, whose sum is σ = 641215008. Its totient is φ = 35831808.

The previous prime is 157580617. The next prime is 157580651. The reversal of 157580640 is 46085751.

157580640 is a `hidden beast` number, since 1 + 5 + 7 + 5 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 157580595 and 157580604.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 816384 + ... + 816576.

It is an arithmetic number, because the mean of its divisors is an integer number (1908378).

Almost surely, 2^157580640 is an apocalyptic number.

157580640 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 157580640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320607504).

157580640 is an abundant number, since it is smaller than the sum of its proper divisors (483634368).

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

157580640 is an equidigital number, since it uses as much as digits as its factorization.

157580640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 157580640 is about 12553.1127613831. The cubic root of 157580640 is about 540.1333004251.

It can be divided in two parts, 1575 and 80640, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 157580640 in words is "one hundred fifty-seven million, five hundred eighty thousand, six hundred forty".