145577690368 has 108 divisors (see below), whose sum is σ = 329710804864. Its totient is φ = 64036684800.

The previous prime is 145577690351. The next prime is 145577690381. The reversal of 145577690368 is 863096775541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 884455 + ... + 1036057.

Almost surely, 2^145577690368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145577690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164855402432).

145577690368 is an abundant number, since it is smaller than the sum of its proper divisors (184133114496).

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

145577690368 is a wasteful number, since it uses less digits than its factorization.

145577690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151672 (or 151647 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 145577690368 in words is "one hundred forty-five billion, five hundred seventy-seven million, six hundred ninety thousand, three hundred sixty-eight".