137868960 has 96 divisors (see below), whose sum is σ = 436060800. Its totient is φ = 36615168.

The previous prime is 137868949. The next prime is 137868961. The reversal of 137868960 is 69868731.

It is a tau number, because it is divible by the number of its divisors (96).

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 (137868961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167109 + ... + 167931.

It is an arithmetic number, because the mean of its divisors is an integer number (4542300).

Almost surely, 2^137868960 is an apocalyptic number.

137868960 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 137868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218030400).

137868960 is an abundant number, since it is smaller than the sum of its proper divisors (298191840).

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

137868960 is a wasteful number, since it uses less digits than its factorization.

137868960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 137868960 is about 11741.7613670182. The cubic root of 137868960 is about 516.6013061036.

The spelling of 137868960 in words is "one hundred thirty-seven million, eight hundred sixty-eight thousand, nine hundred sixty".