149928412656 has 320 divisors, whose sum is σ = 447380651520. Its totient is φ = 42846289920.

The previous prime is 149928412649. The next prime is 149928412661. The reversal of 149928412656 is 656214829941.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 149928412596 and 149928412605.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 126308095 + ... + 126309281.

It is an arithmetic number, because the mean of its divisors is an integer number (1398064536).

Almost surely, 2^149928412656 is an apocalyptic number.

149928412656 is a gapful number since it is divisible by the number (16) 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 149928412656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223690325760).

149928412656 is an abundant number, since it is smaller than the sum of its proper divisors (297452238864).

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

149928412656 is a wasteful number, since it uses less digits than its factorization.

149928412656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1418 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The spelling of 149928412656 in words is "one hundred forty-nine billion, nine hundred twenty-eight million, four hundred twelve thousand, six hundred fifty-six".