151936942080000 has 4320 divisors, whose sum is σ = 681144049732608. Its totient is φ = 29727129600000.

The previous prime is 151936942079959. The next prime is 151936942080061. The reversal of 151936942080000 is 80249639151.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 239 ways as a sum of consecutive naturals, for example, 4106403839982 + ... + 4106403840018.

Almost surely, 2^{151936942080000} is an apocalyptic number.

151936942080000 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 151936942080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340572024866304).

151936942080000 is an abundant number, since it is smaller than the sum of its proper divisors (529207107652608).

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

151936942080000 is an frugal number, since it uses more digits than its factorization.

151936942080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 151936942080000 in words is "one hundred fifty-one trillion, nine hundred thirty-six billion, nine hundred forty-two million, eighty thousand".