138766464 has 96 divisors (see below), whose sum is σ = 402308400. Its totient is φ = 45909504.

The previous prime is 138766409. The next prime is 138766469. The reversal of 138766464 is 464667831.

It is a happy number.

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

It is a super-2 number, since 2×138766464² = 38512263062126592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138766469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187407 + ... + 188145.

Almost surely, 2^138766464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201154200).

138766464 is an abundant number, since it is smaller than the sum of its proper divisors (263541936).

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

138766464 is a wasteful number, since it uses less digits than its factorization.

138766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 907 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 138766464 is about 11779.9178265385. The cubic root of 138766464 is about 517.7198785581.

The spelling of 138766464 in words is "one hundred thirty-eight million, seven hundred sixty-six thousand, four hundred sixty-four".