137129472 has 60 divisors (see below), whose sum is σ = 395778240. Its totient is φ = 45708288.

The previous prime is 137129467. The next prime is 137129491. The reversal of 137129472 is 274921731.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10272 + ... + 19487.

It is an arithmetic number, because the mean of its divisors is an integer number (6596304).

Almost surely, 2^137129472 is an apocalyptic number.

137129472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137129472 is an abundant number, since it is smaller than the sum of its proper divisors (258648768).

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

137129472 is an equidigital number, since it uses as much as digits as its factorization.

137129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29783 (or 29764 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 137129472 is about 11710.2293743547. The cubic root of 137129472 is about 515.6760180042.

The spelling of 137129472 in words is "one hundred thirty-seven million, one hundred twenty-nine thousand, four hundred seventy-two".