157886820 has 504 divisors, whose sum is σ = 659393784. Its totient is φ = 31352832.

The previous prime is 157886791. The next prime is 157886831. The reversal of 157886820 is 28688751.

It can be written as a sum of positive squares in 4 ways, for example, as 11573604 + 146313216 = 3402^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9287452 + ... + 9287468.

It is an arithmetic number, because the mean of its divisors is an integer number (1308321).

Almost surely, 2^157886820 is an apocalyptic number.

157886820 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 157886820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329696892).

157886820 is an abundant number, since it is smaller than the sum of its proper divisors (501506964).

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

157886820 is a wasteful number, since it uses less digits than its factorization.

157886820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 157886820 is about 12565.3022247776. The cubic root of 157886820 is about 540.4829013644.

The spelling of 157886820 in words is "one hundred fifty-seven million, eight hundred eighty-six thousand, eight hundred twenty".