151620001680 has 160 divisors (see below), whose sum is σ = 555691219200. Its totient is φ = 33460955136.

The previous prime is 151620001657. The next prime is 151620001699. The reversal of 151620001680 is 86100026151.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 1507315 + ... + 1604754.

It is an arithmetic number, because the mean of its divisors is an integer number (3473070120).

Almost surely, 2^151620001680 is an apocalyptic number.

151620001680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151620001680 is an abundant number, since it is smaller than the sum of its proper divisors (404071217520).

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

151620001680 is a wasteful number, since it uses less digits than its factorization.

151620001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112121 (or 3112115 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

It can be divided in two parts, 15162000 and 1680, that multiplied together give a square (25472160000 = 159600²).

The spelling of 151620001680 in words is "one hundred fifty-one billion, six hundred twenty million, one thousand, six hundred eighty".