145442056046400 has 126 divisors (see below), whose sum is σ = 516935407725542. Its totient is φ = 38784548275200.

The previous prime is 145442056046321. The next prime is 145442056046431. The reversal of 145442056046400 is 4640650244541.

145442056046400 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 4 + 2 + 0 + 560 + 46 + 40 + 0 = 666.

145442056046400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 17951219924544 + 127490836121856 = 4236888^2 + 11291184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5050056991 + ... + 5050085790.

Almost surely, 2^{145442056046400} is an apocalyptic number.

145442056046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145442056046400 is an abundant number, since it is smaller than the sum of its proper divisors (371493351679142).

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

145442056046400 is a wasteful number, since it uses less digits than its factorization.

145442056046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100142809 (or 10100142791 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 145442056046400 in words is "one hundred forty-five trillion, four hundred forty-two billion, fifty-six million, forty-six thousand, four hundred".