149733051698880 has 1792 divisors, whose sum is σ = 625586540544000. Its totient is φ = 33359050948608.

The previous prime is 149733051698863. The next prime is 149733051698911. The reversal of 149733051698880 is 88896150337941.

149733051698880 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 3 + 305 + 169 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 149733051698799 and 149733051698808.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61796553349 + ... + 61796555771.

It is an arithmetic number, because the mean of its divisors is an integer number (349099632000).

Almost surely, 2^{149733051698880} is an apocalyptic number.

149733051698880 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 149733051698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312793270272000).

149733051698880 is an abundant number, since it is smaller than the sum of its proper divisors (475853488845120).

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

149733051698880 is a wasteful number, since it uses less digits than its factorization.

149733051698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 149733051698880 in words is "one hundred forty-nine trillion, seven hundred thirty-three billion, fifty-one million, six hundred ninety-eight thousand, eight hundred eighty".