151761513120 has 384 divisors, whose sum is σ = 564677568000. Its totient is φ = 33539358720.

The previous prime is 151761513119. The next prime is 151761513151. The reversal of 151761513120 is 21315167151.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15562006 + ... + 15571754.

It is an arithmetic number, because the mean of its divisors is an integer number (1470514500).

Almost surely, 2^151761513120 is an apocalyptic number.

151761513120 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 151761513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282338784000).

151761513120 is an abundant number, since it is smaller than the sum of its proper divisors (412916054880).

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

151761513120 is a wasteful number, since it uses less digits than its factorization.

151761513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The spelling of 151761513120 in words is "one hundred fifty-one billion, seven hundred sixty-one million, five hundred thirteen thousand, one hundred twenty".