137879820 has 120 divisors (see below), whose sum is σ = 465877104. Its totient is φ = 33934464.

The previous prime is 137879813. The next prime is 137879831. The reversal of 137879820 is 28978731.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17787 + ... + 24333.

Almost surely, 2^137879820 is an apocalyptic number.

137879820 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 137879820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232938552).

137879820 is an abundant number, since it is smaller than the sum of its proper divisors (327997284).

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

137879820 is a wasteful number, since it uses less digits than its factorization.

137879820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 137879820 is about 11742.2238098241. The cubic root of 137879820 is about 516.6148700532.

The spelling of 137879820 in words is "one hundred thirty-seven million, eight hundred seventy-nine thousand, eight hundred twenty".