145373800 has 288 divisors, whose sum is σ = 441132480. Its totient is φ = 43929600.

The previous prime is 145373791. The next prime is 145373801. The reversal of 145373800 is 8373541.

It is a super-2 number, since 2×145373800² = 42267083452880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145373801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6320589 + ... + 6320611.

It is an arithmetic number, because the mean of its divisors is an integer number (1531710).

Almost surely, 2^145373800 is an apocalyptic number.

145373800 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 145373800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220566240).

145373800 is an abundant number, since it is smaller than the sum of its proper divisors (295758680).

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

145373800 is a wasteful number, since it uses less digits than its factorization.

145373800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 145373800 is about 12057.1057887040. The cubic root of 145373800 is about 525.8098461121.

The spelling of 145373800 in words is "one hundred forty-five million, three hundred seventy-three thousand, eight hundred".