151360 has 56 divisors (see below), whose sum is σ = 402336. Its totient is φ = 53760.

The previous prime is 151357. The next prime is 151379. The reversal of 151360 is 63151.

151360 = 23² + 24² + ... + 77².

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 3499 + ... + 3541.

2¹⁵¹³⁶⁰ is an apocalyptic number.

151360 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 151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201168).

151360 is an abundant number, since it is smaller than the sum of its proper divisors (250976).

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

151360 is a wasteful number, since it uses less digits than its factorization.

151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 151360 is about 389.0501253052. The cubic root of 151360 is about 53.2930250991.

Subtracting from 151360 its reverse (63151), we obtain a square (88209 = 297²).

The spelling of 151360 in words is "one hundred fifty-one thousand, three hundred sixty".