149765445692928 has 960 divisors, whose sum is σ = 516631957313472. Its totient is φ = 41328637378560.

The previous prime is 149765445692923. The next prime is 149765445692987. The reversal of 149765445692928 is 829296544567941.

149765445692928 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 6 + 5 + 4 + 4 + 569 + 29 + 28 = 666.

149765445692928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149765445692923) by changing a digit.

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, 1795341076 + ... + 1795424492.

Almost surely, 2^{149765445692928} is an apocalyptic number.

149765445692928 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 149765445692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258315978656736).

149765445692928 is an abundant number, since it is smaller than the sum of its proper divisors (366866511620544).

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

149765445692928 is a wasteful number, since it uses less digits than its factorization.

149765445692928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83555 (or 83536 counting only the distinct ones).

The product of its digits is 9405849600, while the sum is 81.

The spelling of 149765445692928 in words is "one hundred forty-nine trillion, seven hundred sixty-five billion, four hundred forty-five million, six hundred ninety-two thousand, nine hundred twenty-eight".