149855983200 has 864 divisors, whose sum is σ = 680916418560. Its totient is φ = 31135104000.

The previous prime is 149855983177. The next prime is 149855983217. The reversal of 149855983200 is 2389558941.

149855983200 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 559 + 83 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×149855983200³ (a number of 35 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 18291105 + ... + 18299295.

Almost surely, 2^149855983200 is an apocalyptic number.

149855983200 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 149855983200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340458209280).

149855983200 is an abundant number, since it is smaller than the sum of its proper divisors (531060435360).

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

149855983200 is a wasteful number, since it uses less digits than its factorization.

149855983200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8249 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 149855983200 in words is "one hundred forty-nine billion, eight hundred fifty-five million, nine hundred eighty-three thousand, two hundred".