137820672 has 120 divisors (see below), whose sum is σ = 434079360. Its totient is φ = 41748480.

The previous prime is 137820659. The next prime is 137820691. The reversal of 137820672 is 276028731.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49329 + ... + 52047.

It is an arithmetic number, because the mean of its divisors is an integer number (3617328).

Almost surely, 2^137820672 is an apocalyptic number.

137820672 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 137820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217039680).

137820672 is an abundant number, since it is smaller than the sum of its proper divisors (296258688).

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

137820672 is a wasteful number, since it uses less digits than its factorization.

137820672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 137820672 is about 11739.7049366668. The cubic root of 137820672 is about 516.5409866118.

The spelling of 137820672 in words is "one hundred thirty-seven million, eight hundred twenty thousand, six hundred seventy-two".