149777123328000 has 1200 divisors, whose sum is σ = 638223039277824. Its totient is φ = 34234505625600.

The previous prime is 149777123327987. The next prime is 149777123328011. The reversal of 149777123328000 is 823321777941.

149777123328000 is a `hidden beast` number, since 1 + 497 + 7 + 7 + 123 + 3 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1161151509 + ... + 1161280491.

Almost surely, 2^{149777123328000} is an apocalyptic number.

149777123328000 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 149777123328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319111519638912).

149777123328000 is an abundant number, since it is smaller than the sum of its proper divisors (488445915949824).

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

149777123328000 is an frugal number, since it uses more digits than its factorization.

149777123328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129045 (or 129000 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 149777123328000 in words is "one hundred forty-nine trillion, seven hundred seventy-seven billion, one hundred twenty-three million, three hundred twenty-eight thousand".