152938000 has 80 divisors (see below), whose sum is σ = 377904384. Its totient is φ = 59836800.

The previous prime is 152937997. The next prime is 152938003. The reversal of 152938000 is 839251.

It is an interprime number because it is at equal distance from previous prime (152937997) and next prime (152938003).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 152938000.

It is not an unprimeable number, because it can be changed into a prime (152938003) by changing a digit.

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, 93187 + ... + 94813.

Almost surely, 2^152938000 is an apocalyptic number.

152938000 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 152938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188952192).

152938000 is an abundant number, since it is smaller than the sum of its proper divisors (224966384).

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

152938000 is a wasteful number, since it uses less digits than its factorization.

152938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1681 counting only the distinct ones).

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

The square root of 152938000 is about 12366.8104214466. The cubic root of 152938000 is about 534.7758690827.

The spelling of 152938000 in words is "one hundred fifty-two million, nine hundred thirty-eight thousand".