145772860776192 has 648 divisors, whose sum is σ = 461180840558256. Its totient is φ = 44256937181184.

The previous prime is 145772860776187. The next prime is 145772860776199. The reversal of 145772860776192 is 291677068277541.

It is a happy number.

145772860776192 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 7 + 2 + 8 + 607 + 7 + 6 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×145772860776192² (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 self number, because there is not a number n which added to its sum of digits gives 145772860776192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145772860776199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30799249858 + ... + 30799254590.

It is an arithmetic number, because the mean of its divisors is an integer number (711698828022).

Almost surely, 2^{145772860776192} is an apocalyptic number.

145772860776192 is a gapful number since it is divisible by the number (12) 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 145772860776192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230590420279128).

145772860776192 is an abundant number, since it is smaller than the sum of its proper divisors (315407979782064).

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

145772860776192 is a wasteful number, since it uses less digits than its factorization.

145772860776192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 145772860776192 in words is "one hundred forty-five trillion, seven hundred seventy-two billion, eight hundred sixty million, seven hundred seventy-six thousand, one hundred ninety-two".