145861567357440 has 3840 divisors, whose sum is σ = 586568345223168. Its totient is φ = 30594170880000.

The previous prime is 145861567357427. The next prime is 145861567357477. The reversal of 145861567357440 is 44753765168541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×145861567357440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2054388272605 + ... + 2054388272675.

Almost surely, 2^{145861567357440} is an apocalyptic number.

145861567357440 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 145861567357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293284172611584).

145861567357440 is an abundant number, since it is smaller than the sum of its proper divisors (440706777865728).

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

145861567357440 is a wasteful number, since it uses less digits than its factorization.

145861567357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 338688000, while the sum is 66.

The spelling of 145861567357440 in words is "one hundred forty-five trillion, eight hundred sixty-one billion, five hundred sixty-seven million, three hundred fifty-seven thousand, four hundred forty".