137355672 has 32 divisors (see below), whose sum is σ = 343702080. Its totient is φ = 45743520.

The previous prime is 137355671. The next prime is 137355703. The reversal of 137355672 is 276553731.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137355672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137355671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35883 + ... + 39525.

It is an arithmetic number, because the mean of its divisors is an integer number (10740690).

Almost surely, 2^137355672 is an apocalyptic number.

137355672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137355672 is an abundant number, since it is smaller than the sum of its proper divisors (206346408).

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

137355672 is a wasteful number, since it uses less digits than its factorization.

137355672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5219 counting only the distinct ones).

The product of its digits is 132300, while the sum is 39.

The square root of 137355672 is about 11719.8836171696. The cubic root of 137355672 is about 515.9594042938.

The spelling of 137355672 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, six hundred seventy-two".