137901744 has 80 divisors (see below), whose sum is σ = 413068800. Its totient is φ = 43965504.

The previous prime is 137901727. The next prime is 137901787. The reversal of 137901744 is 447109731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137901699 and 137901708.

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 15 ways as a sum of consecutive naturals, for example, 2997 + ... + 16875.

It is an arithmetic number, because the mean of its divisors is an integer number (5163360).

Almost surely, 2^137901744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137901744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206534400).

137901744 is an abundant number, since it is smaller than the sum of its proper divisors (275167056).

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

137901744 is a wasteful number, since it uses less digits than its factorization.

137901744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13919 (or 13907 counting only the distinct ones).

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

The square root of 137901744 is about 11743.1573267158. The cubic root of 137901744 is about 516.6422505747.

The spelling of 137901744 in words is "one hundred thirty-seven million, nine hundred one thousand, seven hundred forty-four".