149902605200 has 120 divisors (see below), whose sum is σ = 381865573920. Its totient is φ = 56390169600.

The previous prime is 149902605199. The next prime is 149902605217. The reversal of 149902605200 is 2506209941.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969215 + ... + 1113185.

It is an arithmetic number, because the mean of its divisors is an integer number (3182213116).

Almost surely, 2^149902605200 is an apocalyptic number.

149902605200 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 149902605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190932786960).

149902605200 is an abundant number, since it is smaller than the sum of its proper divisors (231962968720).

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

149902605200 is a wasteful number, since it uses less digits than its factorization.

149902605200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144145 (or 144134 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 149902605200 in words is "one hundred forty-nine billion, nine hundred two million, six hundred five thousand, two hundred".