138013601 has 8 divisors (see below), whose sum is σ = 150984000. Its totient is φ = 125113840.

The previous prime is 138013591. The next prime is 138013607. The reversal of 138013601 is 106310831.

138013601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138013601 - 2²² = 133819297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138013607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13526 + ... + 21423.

It is an arithmetic number, because the mean of its divisors is an integer number (18873000).

Almost surely, 2^138013601 is an apocalyptic number.

138013601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138013601 is a deficient number, since it is larger than the sum of its proper divisors (12970399).

138013601 is a wasteful number, since it uses less digits than its factorization.

138013601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35319.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 138013601 is about 11747.9190072114. The cubic root of 138013601 is about 516.7819017795.

The spelling of 138013601 in words is "one hundred thirty-eight million, thirteen thousand, six hundred one".