151145360578000 has 160 divisors (see below), whose sum is σ = 368148708974592. Its totient is φ = 60016467456000.

The previous prime is 151145360577977. The next prime is 151145360578027. The reversal of 151145360578000 is 875063541151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156957985 + ... + 157918015.

Almost surely, 2^{151145360578000} is an apocalyptic number.

151145360578000 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 151145360578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184074354487296).

151145360578000 is an abundant number, since it is smaller than the sum of its proper divisors (217003348396592).

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

151145360578000 is a wasteful number, since it uses less digits than its factorization.

151145360578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960630 (or 960614 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 151145360578000 in words is "one hundred fifty-one trillion, one hundred forty-five billion, three hundred sixty million, five hundred seventy-eight thousand".