137070640 has 120 divisors (see below), whose sum is σ = 376583040. Its totient is φ = 46255104.

The previous prime is 137070631. The next prime is 137070641. The reversal of 137070640 is 46070731.

137070640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 137070599 and 137070608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137070641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285921 + ... + 286399.

It is an arithmetic number, because the mean of its divisors is an integer number (3138192).

Almost surely, 2^137070640 is an apocalyptic number.

137070640 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 137070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188291520).

137070640 is an abundant number, since it is smaller than the sum of its proper divisors (239512400).

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

137070640 is a wasteful number, since it uses less digits than its factorization.

137070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 137070640 is about 11707.7171130840. The cubic root of 137070640 is about 515.6022614521.

Subtracting from 137070640 its reverse (46070731), we obtain a palindrome (90999909).

It can be divided in two parts, 1370 and 70640, that added together give a triangular number (72010 = T₃₇₉).

The spelling of 137070640 in words is "one hundred thirty-seven million, seventy thousand, six hundred forty".