157739400 has 480 divisors, whose sum is σ = 680581440. Its totient is φ = 32970240.

The previous prime is 157739383. The next prime is 157739411. The reversal of 157739400 is 4937751.

It is a happy number.

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

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 119 ways as a sum of consecutive naturals, for example, 1474147 + ... + 1474253.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^157739400 is an apocalyptic number.

157739400 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 157739400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

157739400 is an abundant number, since it is smaller than the sum of its proper divisors (522842040).

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

157739400 is a wasteful number, since it uses less digits than its factorization.

157739400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 157739400 is about 12559.4347006543. The cubic root of 157739400 is about 540.3146314589.

The spelling of 157739400 in words is "one hundred fifty-seven million, seven hundred thirty-nine thousand, four hundred".