138699236460096 has 189 divisors, whose sum is σ = 430501382823681. Its totient is φ = 42675557543424.

The previous prime is 138699236460089. The next prime is 138699236460097. The reversal of 138699236460096 is 690064632996831.

It is a happy number.

The square root of 138699236460096 is 11777064.

It is a perfect power (a square), and thus also a powerful number.

138699236460096 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 9 + 9 + 2 + 3 + 6 + 4 + 600 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20517638529600 + 118181597930496 = 4529640^2 + 10871136^2 .

It is a super-2 number, since 2×138699236460096² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (138699236460097) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3674425095 + ... + 3674462841.

Almost surely, 2^{138699236460096} is an apocalyptic number.

138699236460096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138699236460096 is the 11777064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138699236460096

138699236460096 is an abundant number, since it is smaller than the sum of its proper divisors (291802146363585).

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

138699236460096 is an frugal number, since it uses more digits than its factorization.

138699236460096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75538 (or 37765 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 138699236460096 in words is "one hundred thirty-eight trillion, six hundred ninety-nine billion, two hundred thirty-six million, four hundred sixty thousand, ninety-six".