138746880 has 132 divisors (see below), whose sum is σ = 480913992. Its totient is φ = 36986880.

The previous prime is 138746869. The next prime is 138746891. The reversal of 138746880 is 88647831.

It is an interprime number because it is at equal distance from previous prime (138746869) and next prime (138746891).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44575 + ... + 47585.

Almost surely, 2^138746880 is an apocalyptic number.

138746880 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 138746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240456996).

138746880 is an abundant number, since it is smaller than the sum of its proper divisors (342167112).

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

138746880 is a wasteful number, since it uses less digits than its factorization.

138746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 138746880 is about 11779.0865520209. The cubic root of 138746880 is about 517.6955222816.

The spelling of 138746880 in words is "one hundred thirty-eight million, seven hundred forty-six thousand, eight hundred eighty".