138074496 has 128 divisors (see below), whose sum is σ = 432936960. Its totient is φ = 38154240.

The previous prime is 138074467. The next prime is 138074507. The reversal of 138074496 is 694470831.

138074496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82500 + ... + 84156.

It is an arithmetic number, because the mean of its divisors is an integer number (3382320).

Almost surely, 2^138074496 is an apocalyptic number.

138074496 is a gapful number since it is divisible by the number (16) 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 138074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216468480).

138074496 is an abundant number, since it is smaller than the sum of its proper divisors (294862464).

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

138074496 is a wasteful number, since it uses less digits than its factorization.

138074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 138074496 is about 11750.5104569972. The cubic root of 138074496 is about 516.8578962381.

The spelling of 138074496 in words is "one hundred thirty-eight million, seventy-four thousand, four hundred ninety-six".