151444200960 has 320 divisors, whose sum is σ = 579326045760. Its totient is φ = 37278351360.

The previous prime is 151444200937. The next prime is 151444200967. The reversal of 151444200960 is 69002444151.

151444200960 is a `hidden beast` number, since 1 + 5 + 1 + 444 + 200 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151444200967) 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, 814290 + ... + 982830.

It is an arithmetic number, because the mean of its divisors is an integer number (1810393893).

Almost surely, 2^151444200960 is an apocalyptic number.

151444200960 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 151444200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289663022880).

151444200960 is an abundant number, since it is smaller than the sum of its proper divisors (427881844800).

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

151444200960 is a wasteful number, since it uses less digits than its factorization.

151444200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168586 (or 168564 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 151444200960 in words is "one hundred fifty-one billion, four hundred forty-four million, two hundred thousand, nine hundred sixty".