149625905545152 has 672 divisors, whose sum is σ = 460029339893760. Its totient is φ = 48193927326720.

The previous prime is 149625905545099. The next prime is 149625905545169. The reversal of 149625905545152 is 251545509526941.

It is a happy number.

149625905545152 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 25 + 9 + 0 + 554 + 5 + 1 + 52 = 666.

It is a super-2 number, since 2×149625905545152² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149625905545152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19587102549 + ... + 19587110187.

It is an arithmetic number, because the mean of its divisors is an integer number (684567470080).

Almost surely, 2^{149625905545152} is an apocalyptic number.

149625905545152 is a gapful number since it is divisible by the number (12) 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 149625905545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230014669946880).

149625905545152 is an abundant number, since it is smaller than the sum of its proper divisors (310403434348608).

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

149625905545152 is a wasteful number, since it uses less digits than its factorization.

149625905545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8051 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 97200000, while the sum is 63.

The spelling of 149625905545152 in words is "one hundred forty-nine trillion, six hundred twenty-five billion, nine hundred five million, five hundred forty-five thousand, one hundred fifty-two".