151360000 has 200 divisors, whose sum is σ = 421852464. Its totient is φ = 53760000.

The previous prime is 151359977. The next prime is 151360009. The reversal of 151360000 is 63151.

It is a tau number, because it is divible by the number of its divisors (200).

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 not an unprimeable number, because it can be changed into a prime (151360009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3519979 + ... + 3520021.

Almost surely, 2^151360000 is an apocalyptic number.

151360000 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 151360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210926232).

151360000 is an abundant number, since it is smaller than the sum of its proper divisors (270492464).

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

151360000 is an frugal number, since it uses more digits than its factorization.

151360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

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

The square root of 151360000 is about 12302.8451993838. The cubic root of 151360000 is about 532.9302509910.

The spelling of 151360000 in words is "one hundred fifty-one million, three hundred sixty thousand".