149024054031552 has 896 divisors, whose sum is σ = 530532948787200. Its totient is φ = 40601995822080.

The previous prime is 149024054031527. The next prime is 149024054031571. The reversal of 149024054031552 is 255130450420941.

149024054031552 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 2 + 40 + 54 + 0 + 3 + 1 + 552 = 666.

It is a super-2 number, since 2×149024054031552² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149024054031498 and 149024054031507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7459024699 + ... + 7459044677.

Almost surely, 2^{149024054031552} is an apocalyptic number.

149024054031552 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 149024054031552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265266474393600).

149024054031552 is an abundant number, since it is smaller than the sum of its proper divisors (381508894755648).

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

149024054031552 is an equidigital number, since it uses as much as digits as its factorization.

149024054031552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20373 (or 20345 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 149024054031552 in words is "one hundred forty-nine trillion, twenty-four billion, fifty-four million, thirty-one thousand, five hundred fifty-two".