149072825088 has 252 divisors, whose sum is σ = 486705878568. Its totient is φ = 45172961280.

The previous prime is 149072825063. The next prime is 149072825093. The reversal of 149072825088 is 880528270941.

149072825088 is a `hidden beast` number, since 1 + 490 + 7 + 28 + 2 + 50 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2016556 + ... + 2089172.

It is an arithmetic number, because the mean of its divisors is an integer number (1931372534).

Almost surely, 2^149072825088 is an apocalyptic number.

149072825088 is a gapful number since it is divisible by the number (18) 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 149072825088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243352939284).

149072825088 is an abundant number, since it is smaller than the sum of its proper divisors (337633053480).

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

149072825088 is an frugal number, since it uses more digits than its factorization.

149072825088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72662 (or 72633 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 149072825088 in words is "one hundred forty-nine billion, seventy-two million, eight hundred twenty-five thousand, eighty-eight".