149722225171200 has 1296 divisors, whose sum is σ = 588816813312000. Its totient is φ = 35994842726400.

The previous prime is 149722225171163. The next prime is 149722225171237. The reversal of 149722225171200 is 2171522227941.

149722225171200 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 2 + 2 + 2 + 2 + 517 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149722225171163) and next prime (149722225171237).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 102619756071 + ... + 102619757529.

Almost surely, 2^{149722225171200} is an apocalyptic number.

149722225171200 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 149722225171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294408406656000).

149722225171200 is an abundant number, since it is smaller than the sum of its proper divisors (439094588140800).

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

149722225171200 is a wasteful number, since it uses less digits than its factorization.

149722225171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 149722225171200 in words is "one hundred forty-nine trillion, seven hundred twenty-two billion, two hundred twenty-five million, one hundred seventy-one thousand, two hundred".