157442400 has 288 divisors, whose sum is σ = 587774880. Its totient is φ = 40642560.

The previous prime is 157442399. The next prime is 157442407. The reversal of 157442400 is 4244751.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157442407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799102 + ... + 799298.

It is an arithmetic number, because the mean of its divisors is an integer number (2040885).

Almost surely, 2^157442400 is an apocalyptic number.

157442400 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 157442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

157442400 is an abundant number, since it is smaller than the sum of its proper divisors (430332480).

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

157442400 is a wasteful number, since it uses less digits than its factorization.

157442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 157442400 is about 12547.6053492290. The cubic root of 157442400 is about 539.9753075129.

The spelling of 157442400 in words is "one hundred fifty-seven million, four hundred forty-two thousand, four hundred".