137849472 has 64 divisors (see below), whose sum is σ = 406857600. Its totient is φ = 45948672.

The previous prime is 137849461. The next prime is 137849473. The reversal of 137849472 is 274948731.

137849472 is a `hidden beast` number, since 137 + 8 + 49 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137849473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16488 + ... + 23399.

It is an arithmetic number, because the mean of its divisors is an integer number (6357150).

Almost surely, 2^137849472 is an apocalyptic number.

137849472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137849472 is an abundant number, since it is smaller than the sum of its proper divisors (269008128).

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

137849472 is an equidigital number, since it uses as much as digits as its factorization.

137849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39910 (or 39892 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 137849472 is about 11740.9314792311. The cubic root of 137849472 is about 516.5769641471.

The spelling of 137849472 in words is "one hundred thirty-seven million, eight hundred forty-nine thousand, four hundred seventy-two".