137543728 has 40 divisors (see below), whose sum is σ = 307543808. Its totient is φ = 58370112.

The previous prime is 137543711. The next prime is 137543729. The reversal of 137543728 is 827345731.

It is a happy number.

It is a super-2 number, since 2×137543728² = 37836554224275968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137543729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5575 + ... + 17497.

Almost surely, 2^137543728 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 137543728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153771904).

137543728 is an abundant number, since it is smaller than the sum of its proper divisors (170000080).

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

137543728 is a wasteful number, since it uses less digits than its factorization.

137543728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12041 (or 12035 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 137543728 is about 11727.9038195238. The cubic root of 137543728 is about 516.1947665289.

The spelling of 137543728 in words is "one hundred thirty-seven million, five hundred forty-three thousand, seven hundred twenty-eight".