151356100 has 216 divisors, whose sum is σ = 427472640. Its totient is φ = 46126080.

The previous prime is 151356097. The next prime is 151356113. The reversal of 151356100 is 1653151.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915861 + ... + 1915939.

It is an arithmetic number, because the mean of its divisors is an integer number (1979040).

Almost surely, 2^151356100 is an apocalyptic number.

151356100 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 151356100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

151356100 is an abundant number, since it is smaller than the sum of its proper divisors (276116540).

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

151356100 is a wasteful number, since it uses less digits than its factorization.

151356100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 151356100 is about 12302.6866984411. The cubic root of 151356100 is about 532.9256737230.

The spelling of 151356100 in words is "one hundred fifty-one million, three hundred fifty-six thousand, one hundred".