158137200 has 360 divisors, whose sum is σ = 615655040. Its totient is φ = 37324800.

The previous prime is 158137183. The next prime is 158137201. The reversal of 158137200 is 2731851.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158137201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1450746 + ... + 1450854.

Almost surely, 2^158137200 is an apocalyptic number.

158137200 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 158137200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307827520).

158137200 is an abundant number, since it is smaller than the sum of its proper divisors (457517840).

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

158137200 is a wasteful number, since it uses less digits than its factorization.

158137200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 158137200 is about 12575.2614286940. The cubic root of 158137200 is about 540.7684532501.

It can be divided in two parts, 1581 and 37200, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 158137200 in words is "one hundred fifty-eight million, one hundred thirty-seven thousand, two hundred".