145525100311998 has 48 divisors (see below), whose sum is σ = 355460759272080. Its totient is φ = 44098515244080.

The previous prime is 145525100311937. The next prime is 145525100312003. The reversal of 145525100311998 is 899113001525541.

145525100311998 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 510 + 0 + 3 + 119 + 9 + 8 = 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11135982165 + ... + 11135995232.

It is an arithmetic number, because the mean of its divisors is an integer number (7405432484835).

Almost surely, 2^{145525100311998} is an apocalyptic number.

145525100311998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

145525100311998 is an abundant number, since it is smaller than the sum of its proper divisors (209935658960082).

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

145525100311998 is a wasteful number, since it uses less digits than its factorization.

145525100311998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22271977430 (or 22271977413 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 145525100311998 in words is "one hundred forty-five trillion, five hundred twenty-five billion, one hundred million, three hundred eleven thousand, nine hundred ninety-eight".