157309398 has 128 divisors (see below), whose sum is σ = 404352000. Its totient is φ = 44997120.

The previous prime is 157309391. The next prime is 157309403. The reversal of 157309398 is 893903751.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157309391) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 505663 + ... + 505973.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2^157309398 is an apocalyptic number.

157309398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157309398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176000).

157309398 is an abundant number, since it is smaller than the sum of its proper divisors (247042602).

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

157309398 is a wasteful number, since it uses less digits than its factorization.

157309398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 157309398 is about 12542.3043337339. The cubic root of 157309398 is about 539.8232137346.

The spelling of 157309398 in words is "one hundred fifty-seven million, three hundred nine thousand, three hundred ninety-eight".