145642563045045 has 96 divisors (see below), whose sum is σ = 298708775374464. Its totient is φ = 64839782707200.

The previous prime is 145642563045041. The next prime is 145642563045047. The reversal of 145642563045045 is 540540365246541.

145642563045045 is a `hidden beast` number, since 1 + 4 + 56 + 4 + 2 + 56 + 30 + 4 + 504 + 5 = 666.

It is not a de Polignac number, because 145642563045045 - 2² = 145642563045041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 145642563044982 and 145642563045000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145642563045041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210721987 + ... + 211412016.

It is an arithmetic number, because the mean of its divisors is an integer number (3111549743484).

Almost surely, 2^{145642563045045} is an apocalyptic number.

145642563045045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145642563045045 is an abundant number, since it is smaller than the sum of its proper divisors (153066212329419).

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

145642563045045 is a wasteful number, since it uses less digits than its factorization.

145642563045045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422134083 (or 422134080 counting only the distinct ones).

The product of its (nonzero) digits is 34560000, while the sum is 54.

The spelling of 145642563045045 in words is "one hundred forty-five trillion, six hundred forty-two billion, five hundred sixty-three million, forty-five thousand, forty-five".