137628900 has 108 divisors (see below), whose sum is σ = 443156532. Its totient is φ = 35700480.

The previous prime is 137628899. The next prime is 137628901. The reversal of 137628900 is 9826731.

137628900 is a `hidden beast` number, since 1 + 376 + 289 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (137628899) and next prime (137628901).

It can be written as a sum of positive squares in 6 ways, for example, as 6022116 + 131606784 = 2454^2 + 11472^2 .

It is a super-3 number, since 3×137628900³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137628901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31234 + ... + 35366.

Almost surely, 2^137628900 is an apocalyptic number.

137628900 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 137628900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221578266).

137628900 is an abundant number, since it is smaller than the sum of its proper divisors (305527632).

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

137628900 is a wasteful number, since it uses less digits than its factorization.

137628900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 137628900 is about 11731.5344264934. The cubic root of 137628900 is about 516.3012933027.

It can be divided in two parts, 1376 and 28900, that added together give a square (30276 = 174²).

The spelling of 137628900 in words is "one hundred thirty-seven million, six hundred twenty-eight thousand, nine hundred".