145817815500 has 432 divisors, whose sum is σ = 543340429632. Its totient is φ = 32247936000.

The previous prime is 145817815453. The next prime is 145817815523. The reversal of 145817815500 is 5518718541.

145817815500 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 17 + 81 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30269092 + ... + 30273908.

It is an arithmetic number, because the mean of its divisors is an integer number (1257732476).

Almost surely, 2^145817815500 is an apocalyptic number.

145817815500 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 145817815500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271670214816).

145817815500 is an abundant number, since it is smaller than the sum of its proper divisors (397522614132).

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

145817815500 is a wasteful number, since it uses less digits than its factorization.

145817815500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4911 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 145817815500 in words is "one hundred forty-five billion, eight hundred seventeen million, eight hundred fifteen thousand, five hundred".