149224011552 has 576 divisors, whose sum is σ = 550634692608. Its totient is φ = 37200384000.

The previous prime is 149224011499. The next prime is 149224011623. The reversal of 149224011552 is 255110422941.

149224011552 is a `hidden beast` number, since 1 + 4 + 92 + 2 + 4 + 0 + 11 + 552 = 666.

149224011552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90055908 + ... + 90057564.

It is an arithmetic number, because the mean of its divisors is an integer number (955963008).

Almost surely, 2^149224011552 is an apocalyptic number.

149224011552 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 149224011552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275317346304).

149224011552 is an abundant number, since it is smaller than the sum of its proper divisors (401410681056).

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

149224011552 is a wasteful number, since it uses less digits than its factorization.

149224011552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 149224011552 in words is "one hundred forty-nine billion, two hundred twenty-four million, eleven thousand, five hundred fifty-two".