137868864 has 112 divisors (see below), whose sum is σ = 438912000. Its totient is φ = 37310976.

The previous prime is 137868859. The next prime is 137868869. The reversal of 137868864 is 468868731.

It is an interprime number because it is at equal distance from previous prime (137868859) and next prime (137868869).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (137868869) 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, 22837 + ... + 28235.

Almost surely, 2^137868864 is an apocalyptic number.

137868864 is a gapful number since it is divisible by the number (14) 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 137868864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219456000).

137868864 is an abundant number, since it is smaller than the sum of its proper divisors (301043136).

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

137868864 is a wasteful number, since it uses less digits than its factorization.

137868864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5430 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 137868864 is about 11741.7572790447. The cubic root of 137868864 is about 516.6011861981.

The spelling of 137868864 in words is "one hundred thirty-seven million, eight hundred sixty-eight thousand, eight hundred sixty-four".