145515820700 has 72 divisors (see below), whose sum is σ = 322185514224. Its totient is φ = 57035520000.

The previous prime is 145515820643. The next prime is 145515820721. The reversal of 145515820700 is 7028515541.

145515820700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 905435 + ... + 1053965.

Almost surely, 2^145515820700 is an apocalyptic number.

145515820700 is a gapful number since it is divisible by the number (10) 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 145515820700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161092757112).

145515820700 is an abundant number, since it is smaller than the sum of its proper divisors (176669693524).

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

145515820700 is a wasteful number, since it uses less digits than its factorization.

145515820700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148743 (or 148736 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 38.

The spelling of 145515820700 in words is "one hundred forty-five billion, five hundred fifteen million, eight hundred twenty thousand, seven hundred".