151971360 has 96 divisors (see below), whose sum is σ = 482412672. Its totient is φ = 40212480.

The previous prime is 151971359. The next prime is 151971361. The reversal of 151971360 is 63179151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151971359) and next prime (151971361).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (151971361) 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, 64605 + ... + 66915.

It is an arithmetic number, because the mean of its divisors is an integer number (5025132).

Almost surely, 2^151971360 is an apocalyptic number.

151971360 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 151971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241206336).

151971360 is an abundant number, since it is smaller than the sum of its proper divisors (330441312).

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

151971360 is a wasteful number, since it uses less digits than its factorization.

151971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 151971360 is about 12327.6664458445. Note that the first 3 decimals coincide. The cubic root of 151971360 is about 533.6468087691.

The spelling of 151971360 in words is "one hundred fifty-one million, nine hundred seventy-one thousand, three hundred sixty".