151546560 has 224 divisors, whose sum is σ = 533716992. Its totient is φ = 36126720.

The previous prime is 151546553. The next prime is 151546567. The reversal of 151546560 is 65645151.

It is an interprime number because it is at equal distance from previous prime (151546553) and next prime (151546567).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (151546567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1193217 + ... + 1193343.

Almost surely, 2^151546560 is an apocalyptic number.

151546560 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 151546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266858496).

151546560 is an abundant number, since it is smaller than the sum of its proper divisors (382170432).

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

151546560 is a wasteful number, since it uses less digits than its factorization.

151546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 151546560 is about 12310.4248505078. The cubic root of 151546560 is about 533.1491169335.

The spelling of 151546560 in words is "one hundred fifty-one million, five hundred forty-six thousand, five hundred sixty".