149700096000 has 2496 divisors, whose sum is σ = 734170469760. Its totient is φ = 29727129600.

The previous prime is 149700095957. The next prime is 149700096041. The reversal of 149700096000 is 690007941.

149700096000 is a `hidden beast` number, since 1 + 49 + 7 + 0 + 0 + 0 + 9 + 600 + 0 = 666.

149700096000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8805887992 + ... + 8805888008.

It is an arithmetic number, because the mean of its divisors is an integer number (294138810).

Almost surely, 2^149700096000 is an apocalyptic number.

149700096000 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 149700096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367085234880).

149700096000 is an abundant number, since it is smaller than the sum of its proper divisors (584470373760).

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

149700096000 is a wasteful number, since it uses less digits than its factorization.

149700096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 149700096000 in words is "one hundred forty-nine billion, seven hundred million, ninety-six thousand".