145637749390464 has 96 divisors (see below), whose sum is σ = 419339807078400. Its totient is φ = 48516724053504.

The previous prime is 145637749390411. The next prime is 145637749390489. The reversal of 145637749390464 is 464093947736541.

It is a happy number.

145637749390464 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 3 + 7 + 7 + 493 + 90 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 145637749390392 and 145637749390401.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36094344 + ... + 39925895.

It is an arithmetic number, because the mean of its divisors is an integer number (4368122990400).

Almost surely, 2^{145637749390464} is an apocalyptic number.

It is an amenable number.

145637749390464 is an abundant number, since it is smaller than the sum of its proper divisors (273702057687936).

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

145637749390464 is a wasteful number, since it uses less digits than its factorization.

145637749390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76021922 (or 76021907 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 72.

The spelling of 145637749390464 in words is "one hundred forty-five trillion, six hundred thirty-seven billion, seven hundred forty-nine million, three hundred ninety thousand, four hundred sixty-four".