151330932480000 has 3840 divisors, whose sum is σ = 682237933977600. Its totient is φ = 28904325120000.

The previous prime is 151330932479959. The next prime is 151330932480073. The reversal of 151330932480000 is 84239033151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×151330932480000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 152705279505 + ... + 152705280495.

It is an arithmetic number, because the mean of its divisors is an integer number (177666128640).

Almost surely, 2^{151330932480000} is an apocalyptic number.

151330932480000 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 151330932480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341118966988800).

151330932480000 is an abundant number, since it is smaller than the sum of its proper divisors (530907001497600).

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

151330932480000 is a wasteful number, since it uses less digits than its factorization.

151330932480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 151330932480000 in words is "one hundred fifty-one trillion, three hundred thirty billion, nine hundred thirty-two million, four hundred eighty thousand".