157171200 has 120 divisors (see below), whose sum is σ = 519332088. Its totient is φ = 41902080.

The previous prime is 157171199. The next prime is 157171237. The reversal of 157171200 is 2171751.

It is a happy number.

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

It is a super-2 number, since 2×157171200² = 49405572218880000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 36354 + ... + 40446.

Almost surely, 2^157171200 is an apocalyptic number.

157171200 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 157171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259666044).

157171200 is an abundant number, since it is smaller than the sum of its proper divisors (362160888).

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

157171200 is an equidigital number, since it uses as much as digits as its factorization.

157171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 157171200 is about 12536.7938485085. The cubic root of 157171200 is about 539.6650872517.

It can be divided in two parts, 1571 and 71200, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 157171200 in words is "one hundred fifty-seven million, one hundred seventy-one thousand, two hundred".