137872720 has 40 divisors (see below), whose sum is σ = 339413544. Its totient is φ = 51904512.

The previous prime is 137872687. The next prime is 137872727. The reversal of 137872720 is 27278731.

It can be written as a sum of positive squares in 4 ways, for example, as 62599744 + 75272976 = 7912^2 + 8676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 137872720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137872727) 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, 49329 + ... + 52048.

Almost surely, 2^137872720 is an apocalyptic number.

137872720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137872720 is an abundant number, since it is smaller than the sum of its proper divisors (201540824).

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

137872720 is a wasteful number, since it uses less digits than its factorization.

137872720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101407 (or 101401 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 37.

The square root of 137872720 is about 11741.9214781909. The cubic root of 137872720 is about 516.6060023583.

The spelling of 137872720 in words is "one hundred thirty-seven million, eight hundred seventy-two thousand, seven hundred twenty".