157321600 has 96 divisors (see below), whose sum is σ = 392151240. Its totient is φ = 62361600.

The previous prime is 157321589. The next prime is 157321601. The reversal of 157321600 is 6123751.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157321601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 675084 + ... + 675316.

Almost surely, 2^157321600 is an apocalyptic number.

157321600 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 157321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196075620).

157321600 is an abundant number, since it is smaller than the sum of its proper divisors (234829640).

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

157321600 is a wasteful number, since it uses less digits than its factorization.

157321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 157321600 is about 12542.7907580411. The cubic root of 157321600 is about 539.8371708422.

The spelling of 157321600 in words is "one hundred fifty-seven million, three hundred twenty-one thousand, six hundred".