137879760 has 80 divisors (see below), whose sum is σ = 439007616. Its totient is φ = 35771904.

The previous prime is 137879759. The next prime is 137879767. The reversal of 137879760 is 67978731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137879767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117 + ... + 16643.

Almost surely, 2^137879760 is an apocalyptic number.

137879760 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 137879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219503808).

137879760 is an abundant number, since it is smaller than the sum of its proper divisors (301127856).

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

137879760 is a wasteful number, since it uses less digits than its factorization.

137879760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15580 (or 15574 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 48.

The square root of 137879760 is about 11742.2212549415. The cubic root of 137879760 is about 516.6147951162.

The spelling of 137879760 in words is "one hundred thirty-seven million, eight hundred seventy-nine thousand, seven hundred sixty".