138629040 has 80 divisors (see below), whose sum is σ = 468827136. Its totient is φ = 33606400.

The previous prime is 138629021. The next prime is 138629041. The reversal of 138629040 is 40926831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 138628992 and 138629010.

It is not an unprimeable number, because it can be changed into a prime (138629041) 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, 23616 + ... + 28895.

Almost surely, 2^138629040 is an apocalyptic number.

138629040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138629040 is an abundant number, since it is smaller than the sum of its proper divisors (330198096).

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

138629040 is a wasteful number, since it uses less digits than its factorization.

138629040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52538 (or 52532 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 138629040 is about 11774.0834038153. The cubic root of 138629040 is about 517.5489183377.

The spelling of 138629040 in words is "one hundred thirty-eight million, six hundred twenty-nine thousand, forty".