149983162560 has 672 divisors, whose sum is σ = 646724542464. Its totient is φ = 30993408000.

The previous prime is 149983162501. The next prime is 149983162561. The reversal of 149983162560 is 65261389941.

149983162560 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 8 + 3 + 1 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 149983162497 and 149983162506.

It is not an unprimeable number, because it can be changed into a prime (149983162561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 42354390 + ... + 42357930.

It is an arithmetic number, because the mean of its divisors is an integer number (962387712).

Almost surely, 2^149983162560 is an apocalyptic number.

149983162560 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 149983162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323362271232).

149983162560 is an abundant number, since it is smaller than the sum of its proper divisors (496741379904).

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

149983162560 is a wasteful number, since it uses less digits than its factorization.

149983162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 149983162560 in words is "one hundred forty-nine billion, nine hundred eighty-three million, one hundred sixty-two thousand, five hundred sixty".