149834016000 has 1152 divisors, whose sum is σ = 586454668800. Its totient is φ = 37623398400.

The previous prime is 149834015971. The next prime is 149834016011. The reversal of 149834016000 is 610438941.

149834016000 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 3 + 40 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1374623946 + ... + 1374624054.

Almost surely, 2^149834016000 is an apocalyptic number.

149834016000 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 149834016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293227334400).

149834016000 is an abundant number, since it is smaller than the sum of its proper divisors (436620652800).

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

149834016000 is a wasteful number, since it uses less digits than its factorization.

149834016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 149834016000 in words is "one hundred forty-nine billion, eight hundred thirty-four million, sixteen thousand".