151416900 has 108 divisors (see below), whose sum is σ = 480562992. Its totient is φ = 39871680.

The previous prime is 151416887. The next prime is 151416953. The reversal of 151416900 is 9614151.

It is a super-2 number, since 2×151416900² = 45854155211220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73687 + ... + 75713.

Almost surely, 2^151416900 is an apocalyptic number.

151416900 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 151416900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240281496).

151416900 is an abundant number, since it is smaller than the sum of its proper divisors (329146092).

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

151416900 is a wasteful number, since it uses less digits than its factorization.

151416900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 151416900 is about 12305.1574553112. The cubic root of 151416900 is about 532.9970232167.

The spelling of 151416900 in words is "one hundred fifty-one million, four hundred sixteen thousand, nine hundred".