145525100312016 has 120 divisors (see below), whose sum is σ = 413131296520800. Its totient is φ = 47814998649600.

The previous prime is 145525100312003. The next prime is 145525100312023. The reversal of 145525100312016 is 610213001525541.

145525100312016 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 510 + 0 + 3 + 120 + 16 = 666.

145525100312016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 23076630 + ... + 28698101.

It is an arithmetic number, because the mean of its divisors is an integer number (3442760804340).

Almost surely, 2^{145525100312016} is an apocalyptic number.

145525100312016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145525100312016 is an abundant number, since it is smaller than the sum of its proper divisors (267606196208784).

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

145525100312016 is a wasteful number, since it uses less digits than its factorization.

145525100312016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51775025 (or 51775016 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 145525100312016 its reverse (610213001525541), we get a palindrome (755738101837557).

The spelling of 145525100312016 in words is "one hundred forty-five trillion, five hundred twenty-five billion, one hundred million, three hundred twelve thousand, sixteen".