157290336 has 120 divisors (see below), whose sum is σ = 528731280. Its totient is φ = 44934912.

The previous prime is 157290313. The next prime is 157290359. The reversal of 157290336 is 633092751.

157290336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157290313) and next prime (157290359).

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

It is a self number, because there is not a number n which added to its sum of digits gives 157290336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13810 + ... + 22478.

It is an arithmetic number, because the mean of its divisors is an integer number (4406094).

Almost surely, 2^157290336 is an apocalyptic number.

157290336 is a gapful number since it is divisible by the number (16) 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 157290336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264365640).

157290336 is an abundant number, since it is smaller than the sum of its proper divisors (371440944).

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

157290336 is an equidigital number, since it uses as much as digits as its factorization.

157290336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698 (or 8681 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 157290336 is about 12541.5444025048. The cubic root of 157290336 is about 539.8014084560.

The spelling of 157290336 in words is "one hundred fifty-seven million, two hundred ninety thousand, three hundred thirty-six".