145410106356 has 72 divisors (see below), whose sum is σ = 389280495240. Its totient is φ = 45607766016.

The previous prime is 145410106349. The next prime is 145410106403. The reversal of 145410106356 is 653601014541.

145410106356 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 1 + 0 + 10 + 635 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38520342756 + 106889763600 = 196266^2 + 326940^2 .

It is a super-2 number, since 2×145410106356² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145410106356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2701030 + ... + 2754338.

It is an arithmetic number, because the mean of its divisors is an integer number (5406673545).

Almost surely, 2^145410106356 is an apocalyptic number.

It is an amenable number.

145410106356 is an abundant number, since it is smaller than the sum of its proper divisors (243870388884).

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

145410106356 is a wasteful number, since it uses less digits than its factorization.

145410106356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57793 (or 57788 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 145410106356 in words is "one hundred forty-five billion, four hundred ten million, one hundred six thousand, three hundred fifty-six".