145202512896 has 880 divisors, whose sum is σ = 537571938816. Its totient is φ = 38093193216.

The previous prime is 145202512853. The next prime is 145202512907. The reversal of 145202512896 is 698215202541.

145202512896 is a `hidden beast` number, since 1 + 4 + 52 + 0 + 2 + 512 + 89 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 463905636 + ... + 463905948.

Almost surely, 2^145202512896 is an apocalyptic number.

145202512896 is a gapful number since it is divisible by the number (16) 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 145202512896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268785969408).

145202512896 is an abundant number, since it is smaller than the sum of its proper divisors (392369425920).

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

145202512896 is a wasteful number, since it uses less digits than its factorization.

145202512896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 145202512896 in words is "one hundred forty-five billion, two hundred two million, five hundred twelve thousand, eight hundred ninety-six".