145656777277440 has 3360 divisors, whose sum is σ = 634238406925200. Its totient is φ = 31799535206400.

The previous prime is 145656777277421. The next prime is 145656777277511. The reversal of 145656777277440 is 44772777656541.

145656777277440 is a `hidden beast` number, since 1 + 4 + 56 + 5 + 67 + 7 + 7 + 2 + 77 + 440 = 666.

It is a super-2 number, since 2×145656777277440² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3552604323820 + ... + 3552604323860.

Almost surely, 2^{145656777277440} is an apocalyptic number.

145656777277440 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 145656777277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317119203462600).

145656777277440 is an abundant number, since it is smaller than the sum of its proper divisors (488581629647760).

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

145656777277440 is an frugal number, since it uses more digits than its factorization.

145656777277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1936166400, while the sum is 72.

The spelling of 145656777277440 in words is "one hundred forty-five trillion, six hundred fifty-six billion, seven hundred seventy-seven million, two hundred seventy-seven thousand, four hundred forty".