151075494960 has 240 divisors, whose sum is σ = 533824761600. Its totient is φ = 35230381056.

The previous prime is 151075494949. The next prime is 151075494989. The reversal of 151075494960 is 69494570151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672621 + ... + 868659.

It is an arithmetic number, because the mean of its divisors is an integer number (2224269840).

Almost surely, 2^151075494960 is an apocalyptic number.

151075494960 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 151075494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266912380800).

151075494960 is an abundant number, since it is smaller than the sum of its proper divisors (382749266640).

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

151075494960 is a wasteful number, since it uses less digits than its factorization.

151075494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196100 (or 196081 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 151075494960 in words is "one hundred fifty-one billion, seventy-five million, four hundred ninety-four thousand, nine hundred sixty".