151984560 has 160 divisors (see below), whose sum is σ = 579962880. Its totient is φ = 32062464.

The previous prime is 151984559. The next prime is 151984561. The reversal of 151984560 is 65489151.

It is an interprime number because it is at equal distance from previous prime (151984559) and next prime (151984561).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (151984561) 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, 18361 + ... + 25319.

It is an arithmetic number, because the mean of its divisors is an integer number (3624768).

Almost surely, 2^151984560 is an apocalyptic number.

151984560 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 151984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289981440).

151984560 is an abundant number, since it is smaller than the sum of its proper divisors (427978320).

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

151984560 is a wasteful number, since it uses less digits than its factorization.

151984560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6995 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 151984560 is about 12328.2018153500. The cubic root of 151984560 is about 533.6622589038.

The spelling of 151984560 in words is "one hundred fifty-one million, nine hundred eighty-four thousand, five hundred sixty".