145720356599664 has 400 divisors, whose sum is σ = 525999780573696. Its totient is φ = 37836998899200.

The previous prime is 145720356599651. The next prime is 145720356599689. The reversal of 145720356599664 is 466995653027541.

It is a happy number.

145720356599664 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 20 + 3 + 5 + 6 + 599 + 6 + 6 + 4 = 666.

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 = 145720356599592 and 145720356599601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 305224789 + ... + 305701835.

Almost surely, 2^{145720356599664} is an apocalyptic number.

145720356599664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145720356599664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262999890286848).

145720356599664 is an abundant number, since it is smaller than the sum of its proper divisors (380279423974032).

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

145720356599664 is a wasteful number, since it uses less digits than its factorization.

145720356599664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480146 (or 480131 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 72.

The spelling of 145720356599664 in words is "one hundred forty-five trillion, seven hundred twenty billion, three hundred fifty-six million, five hundred ninety-nine thousand, six hundred sixty-four".