145217552800 has 36 divisors (see below), whose sum is σ = 354512352726. Its totient is φ = 58087020800.

The previous prime is 145217552791. The next prime is 145217552803. The reversal of 145217552800 is 8255712541.

It can be written as a sum of positive squares in 3 ways, for example, as 63994832784 + 81222720016 = 252972^2 + 284996^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (145217552803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90760171 + ... + 90761770.

Almost surely, 2^145217552800 is an apocalyptic number.

145217552800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145217552800 is an abundant number, since it is smaller than the sum of its proper divisors (209294799926).

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

145217552800 is a wasteful number, since it uses less digits than its factorization.

145217552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181521961 (or 181521948 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 145217552800 in words is "one hundred forty-five billion, two hundred seventeen million, five hundred fifty-two thousand, eight hundred".