138965040 has 120 divisors (see below), whose sum is σ = 469130688. Its totient is φ = 36864000.

The previous prime is 138965009. The next prime is 138965053. The reversal of 138965040 is 40569831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×138965040² = 38622564684403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138964986 and 138965004.

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, 184665 + ... + 185415.

Almost surely, 2^138965040 is an apocalyptic number.

138965040 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 138965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234565344).

138965040 is an abundant number, since it is smaller than the sum of its proper divisors (330165648).

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

138965040 is a wasteful number, since it uses less digits than its factorization.

138965040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 138965040 is about 11788.3433950662. The cubic root of 138965040 is about 517.9667147160.

The spelling of 138965040 in words is "one hundred thirty-eight million, nine hundred sixty-five thousand, forty".