137163740 has 72 divisors (see below), whose sum is σ = 340235280. Its totient is φ = 46303488.

The previous prime is 137163721. The next prime is 137163787. The reversal of 137163740 is 47361731.

137163740 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

137163740 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 137163697 and 137163706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64616 + ... + 66704.

It is an arithmetic number, because the mean of its divisors is an integer number (4725490).

Almost surely, 2^137163740 is an apocalyptic number.

137163740 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 137163740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170117640).

137163740 is an abundant number, since it is smaller than the sum of its proper divisors (203071540).

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

137163740 is a wasteful number, since it uses less digits than its factorization.

137163740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 137163740 is about 11711.6924481477. The cubic root of 137163740 is about 515.7189694179.

The spelling of 137163740 in words is "one hundred thirty-seven million, one hundred sixty-three thousand, seven hundred forty".