145215200 has 72 divisors (see below), whose sum is σ = 381803688. Its totient is φ = 53614080.

The previous prime is 145215181. The next prime is 145215211. The reversal of 145215200 is 2512541.

145215200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145215200² = 42174908622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3419 + ... + 17381.

It is an arithmetic number, because the mean of its divisors is an integer number (5302829).

Almost surely, 2^145215200 is an apocalyptic number.

145215200 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 145215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190901844).

145215200 is an abundant number, since it is smaller than the sum of its proper divisors (236588488).

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

145215200 is a wasteful number, since it uses less digits than its factorization.

145215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13996 (or 13983 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 145215200 is about 12050.5269594321. The cubic root of 145215200 is about 525.6185604131.

Adding to 145215200 its reverse (2512541), we get a palindrome (147727741).

The spelling of 145215200 in words is "one hundred forty-five million, two hundred fifteen thousand, two hundred".