151392 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 47232.

The previous prime is 151391. The next prime is 151397. The reversal of 151392 is 293151.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 151392.

It is not an unprimeable number, because it can be changed into a prime (151391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1783 + ... + 1865.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁵¹³⁹² is an apocalyptic number.

151392 is a gapful number since it is divisible by the number (12) 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 151392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

151392 is an abundant number, since it is smaller than the sum of its proper divisors (271968).

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

151392 is a wasteful number, since it uses less digits than its factorization.

151392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

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

The square root of 151392 is about 389.0912489378. The cubic root of 151392 is about 53.2967805092.

The spelling of 151392 in words is "one hundred fifty-one thousand, three hundred ninety-two".