151400806318080 has 1024 divisors, whose sum is σ = 612779470617600. Its totient is φ = 35107173826560.

The previous prime is 151400806318067. The next prime is 151400806318129. The reversal of 151400806318080 is 80813608004151.

151400806318080 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 0 + 0 + 8 + 0 + 631 + 8 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×151400806318080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1119123402 + ... + 1119258678.

It is an arithmetic number, because the mean of its divisors is an integer number (598417451775).

Almost surely, 2^{151400806318080} is an apocalyptic number.

151400806318080 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 151400806318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306389735308800).

151400806318080 is an abundant number, since it is smaller than the sum of its proper divisors (461378664299520).

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

151400806318080 is a wasteful number, since it uses less digits than its factorization.

151400806318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135355 (or 135321 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 151400806318080 in words is "one hundred fifty-one trillion, four hundred billion, eight hundred six million, three hundred eighteen thousand, eighty".