151968000 has 144 divisors (see below), whose sum is σ = 505080576. Its totient is φ = 40499200.

The previous prime is 151967999. The next prime is 151968001. The reversal of 151968000 is 869151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151967999) and next prime (151968001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (151968001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95209 + ... + 96791.

It is an arithmetic number, because the mean of its divisors is an integer number (3507504).

Almost surely, 2^151968000 is an apocalyptic number.

151968000 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 151968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252540288).

151968000 is an abundant number, since it is smaller than the sum of its proper divisors (353112576).

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

151968000 is an equidigital number, since it uses as much as digits as its factorization.

151968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 151968000 is about 12327.5301662580. The cubic root of 151968000 is about 533.6428758647.

The spelling of 151968000 in words is "one hundred fifty-one million, nine hundred sixty-eight thousand".