151012320000000 has 768 divisors, whose sum is σ = 506121509013120. Its totient is φ = 40040448000000.

The previous prime is 151012319999987. The next prime is 151012320000023. The reversal of 151012320000000 is 23210151.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 94559999202 + ... + 94560000798.

Almost surely, 2^{151012320000000} is an apocalyptic number.

151012320000000 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 151012320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253060754506560).

151012320000000 is an abundant number, since it is smaller than the sum of its proper divisors (355109189013120).

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

151012320000000 is an frugal number, since it uses more digits than its factorization.

151012320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 151012320000000 its reverse (23210151), we get a palindrome (151012343210151).

The spelling of 151012320000000 in words is "one hundred fifty-one trillion, twelve billion, three hundred twenty million", and thus it is an aban number.