145923677511120 has 160 divisors (see below), whose sum is σ = 511145085513600. Its totient is φ = 38253438590976.

The previous prime is 145923677511049. The next prime is 145923677511137. The reversal of 145923677511120 is 21115776329541.

It is a happy number.

145923677511120 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 2 + 36 + 77 + 511 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 572391697 + ... + 572646576.

It is an arithmetic number, because the mean of its divisors is an integer number (3194656784460).

Almost surely, 2^{145923677511120} is an apocalyptic number.

145923677511120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145923677511120 is an abundant number, since it is smaller than the sum of its proper divisors (365221408002480).

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

145923677511120 is a wasteful number, since it uses less digits than its factorization.

145923677511120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145038354 (or 1145038342 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 145923677511120 in words is "one hundred forty-five trillion, nine hundred twenty-three billion, six hundred seventy-seven million, five hundred eleven thousand, one hundred twenty".