157020500 has 288 divisors, whose sum is σ = 470564640. Its totient is φ = 45158400.

The previous prime is 157020499. The next prime is 157020553. The reversal of 157020500 is 5020751.

It can be written as a sum of positive squares in 16 ways, for example, as 115906756 + 41113744 = 10766^2 + 6412^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5414486 + ... + 5414514.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^157020500 is an apocalyptic number.

157020500 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 157020500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235282320).

157020500 is an abundant number, since it is smaller than the sum of its proper divisors (313544140).

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

157020500 is a wasteful number, since it uses less digits than its factorization.

157020500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 157020500 is about 12530.7820984965. The cubic root of 157020500 is about 539.4925502654.

The spelling of 157020500 in words is "one hundred fifty-seven million, twenty thousand, five hundred".