138952000 has 112 divisors (see below), whose sum is σ = 375635520. Its totient is φ = 50496000.

The previous prime is 138951973. The next prime is 138952003. The reversal of 138952000 is 259831.

It is a self number, because there is not a number n which added to its sum of digits gives 138952000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138952003) 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, 87211 + ... + 88789.

Almost surely, 2^138952000 is an apocalyptic number.

138952000 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 138952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187817760).

138952000 is an abundant number, since it is smaller than the sum of its proper divisors (236683520).

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

138952000 is a wasteful number, since it uses less digits than its factorization.

138952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 138952000 is about 11787.7902933501. The cubic root of 138952000 is about 517.9505128059.

The spelling of 138952000 in words is "one hundred thirty-eight million, nine hundred fifty-two thousand".