145391309652960 has 864 divisors, whose sum is σ = 592063370039232. Its totient is φ = 33048393154560.

The previous prime is 145391309652943. The next prime is 145391309652989. The reversal of 145391309652960 is 69256903193541.

145391309652960 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 9 + 13 + 0 + 96 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×145391309652960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1329991264 + ... + 1330100576.

It is an arithmetic number, because the mean of its divisors is an integer number (685258530138).

Almost surely, 2^{145391309652960} is an apocalyptic number.

145391309652960 is a gapful number since it is divisible by the number (10) 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 145391309652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296031685019616).

145391309652960 is an abundant number, since it is smaller than the sum of its proper divisors (446672060386272).

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

145391309652960 is an equidigital number, since it uses as much as digits as its factorization.

145391309652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109540 (or 109511 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 145391309652960 in words is "one hundred forty-five trillion, three hundred ninety-one billion, three hundred nine million, six hundred fifty-two thousand, nine hundred sixty".