137871720 has 160 divisors (see below), whose sum is σ = 529689600. Its totient is φ = 31508352.

The previous prime is 137871689. The next prime is 137871739. The reversal of 137871720 is 27178731.

It is a happy number.

It is a super-2 number, since 2×137871720² = 38017222351516800, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 19641 + ... + 25719.

It is an arithmetic number, because the mean of its divisors is an integer number (3310560).

Almost surely, 2^137871720 is an apocalyptic number.

137871720 is a gapful number since it is divisible by the number (10) 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 137871720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264844800).

137871720 is an abundant number, since it is smaller than the sum of its proper divisors (391817880).

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

137871720 is a wasteful number, since it uses less digits than its factorization.

137871720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 137871720 is about 11741.8788956453. The cubic root of 137871720 is about 516.6047533627.

The spelling of 137871720 in words is "one hundred thirty-seven million, eight hundred seventy-one thousand, seven hundred twenty".