151290884160 has 448 divisors, whose sum is σ = 594608716800. Its totient is φ = 35955892224.

The previous prime is 151290884117. The next prime is 151290884161. The reversal of 151290884160 is 61488092151.

It is a happy number.

151290884160 is a `hidden beast` number, since 1 + 512 + 90 + 8 + 8 + 41 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (151290884161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3234057 + ... + 3280503.

It is an arithmetic number, because the mean of its divisors is an integer number (1327251600).

Almost surely, 2^151290884160 is an apocalyptic number.

151290884160 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 151290884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297304358400).

151290884160 is an abundant number, since it is smaller than the sum of its proper divisors (443317832640).

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

151290884160 is a wasteful number, since it uses less digits than its factorization.

151290884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46515 (or 46499 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 151290884160 in words is "one hundred fifty-one billion, two hundred ninety million, eight hundred eighty-four thousand, one hundred sixty".