137734272 has 192 divisors, whose sum is σ = 452775960. Its totient is φ = 39813120.

The previous prime is 137734243. The next prime is 137734291. The reversal of 137734272 is 272437731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106998336 + 30735936 = 10344^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254322 + ... + 254862.

Almost surely, 2^137734272 is an apocalyptic number.

137734272 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 137734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226387980).

137734272 is an abundant number, since it is smaller than the sum of its proper divisors (315041688).

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

137734272 is a wasteful number, since it uses less digits than its factorization.

137734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 576 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 137734272 is about 11736.0245398516. The cubic root of 137734272 is about 516.4330239240.

The spelling of 137734272 in words is "one hundred thirty-seven million, seven hundred thirty-four thousand, two hundred seventy-two".