151491600 has 360 divisors, whose sum is σ = 590899680. Its totient is φ = 36840960.

The previous prime is 151491589. The next prime is 151491619. The reversal of 151491600 is 6194151.

151491600 is a `hidden beast` number, since 1 + 51 + 4 + 9 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1825159 + ... + 1825241.

It is an arithmetic number, because the mean of its divisors is an integer number (1641388).

Almost surely, 2^151491600 is an apocalyptic number.

151491600 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 151491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295449840).

151491600 is an abundant number, since it is smaller than the sum of its proper divisors (439408080).

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

151491600 is a wasteful number, since it uses less digits than its factorization.

151491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

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

The square root of 151491600 is about 12308.1923936864. The cubic root of 151491600 is about 533.0846583750.

The spelling of 151491600 in words is "one hundred fifty-one million, four hundred ninety-one thousand, six hundred".