139152000 has 256 divisors, whose sum is σ = 499000320. Its totient is φ = 34099200.

The previous prime is 139151989. The next prime is 139152011. The reversal of 139152000 is 251931.

It is an interprime number because it is at equal distance from previous prime (139151989) and next prime (139152011).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623889 + ... + 624111.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^139152000 is an apocalyptic number.

139152000 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 139152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

139152000 is an abundant number, since it is smaller than the sum of its proper divisors (359848320).

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

139152000 is a wasteful number, since it uses less digits than its factorization.

139152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 139152000 is about 11796.2705970997. The cubic root of 139152000 is about 518.1988970000.

The spelling of 139152000 in words is "one hundred thirty-nine million, one hundred fifty-two thousand".