149145366528 has 416 divisors, whose sum is σ = 459010534400. Its totient is φ = 47823519744.

The previous prime is 149145366511. The next prime is 149145366661. The reversal of 149145366528 is 825663541941.

149145366528 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 4 + 53 + 66 + 528 = 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375680826 + ... + 375681222.

Almost surely, 2^149145366528 is an apocalyptic number.

149145366528 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 149145366528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229505267200).

149145366528 is an abundant number, since it is smaller than the sum of its proper divisors (309865167872).

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

149145366528 is an equidigital number, since it uses as much as digits as its factorization.

149145366528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 524 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 149145366528 in words is "one hundred forty-nine billion, one hundred forty-five million, three hundred sixty-six thousand, five hundred twenty-eight".