157052400 has 120 divisors (see below), whose sum is σ = 520554480. Its totient is φ = 40427520.

The previous prime is 157052339. The next prime is 157052411. The reversal of 157052400 is 4250751.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32544 + ... + 37056.

It is an arithmetic number, because the mean of its divisors is an integer number (4337954).

Almost surely, 2^157052400 is an apocalyptic number.

157052400 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 157052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260277240).

157052400 is an abundant number, since it is smaller than the sum of its proper divisors (363502080).

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

157052400 is a wasteful number, since it uses less digits than its factorization.

157052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 157052400 is about 12532.0548993371. The cubic root of 157052400 is about 539.5290819010.

The spelling of 157052400 in words is "one hundred fifty-seven million, fifty-two thousand, four hundred".