149301174672 has 320 divisors, whose sum is σ = 480552576000. Its totient is φ = 44064663552.

The previous prime is 149301174661. The next prime is 149301174679. The reversal of 149301174672 is 276471103941.

It is a happy number.

149301174672 is a `hidden beast` number, since 1 + 49 + 30 + 117 + 467 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (149301174679) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 25566729 + ... + 25572567.

It is an arithmetic number, because the mean of its divisors is an integer number (1501726800).

Almost surely, 2^149301174672 is an apocalyptic number.

149301174672 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 149301174672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240276288000).

149301174672 is an abundant number, since it is smaller than the sum of its proper divisors (331251401328).

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

149301174672 is a wasteful number, since it uses less digits than its factorization.

149301174672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 149301174672 in words is "one hundred forty-nine billion, three hundred one million, one hundred seventy-four thousand, six hundred seventy-two".