137628972 has 72 divisors (see below), whose sum is σ = 382689216. Its totient is φ = 41439744.

The previous prime is 137628971. The next prime is 137628979. The reversal of 137628972 is 279826731.

137628972 is a `hidden beast` number, since 13 + 7 + 628 + 9 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137628971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18868 + ... + 25124.

It is an arithmetic number, because the mean of its divisors is an integer number (5315128).

Almost surely, 2^137628972 is an apocalyptic number.

137628972 is a gapful number since it is divisible by the number (12) 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 137628972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191344608).

137628972 is an abundant number, since it is smaller than the sum of its proper divisors (245060244).

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

137628972 is a wasteful number, since it uses less digits than its factorization.

137628972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327 (or 6322 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 137628972 is about 11731.5374951453. The cubic root of 137628972 is about 516.3013833364.

The spelling of 137628972 in words is "one hundred thirty-seven million, six hundred twenty-eight thousand, nine hundred seventy-two".