145370800 has 60 divisors (see below), whose sum is σ = 351011016. Its totient is φ = 57856000.

The previous prime is 145370777. The next prime is 145370809. The reversal of 145370800 is 8073541.

It is a super-2 number, since 2×145370800² = 42265338985280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145370809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90000 + ... + 91600.

Almost surely, 2^145370800 is an apocalyptic number.

145370800 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 145370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175505508).

145370800 is an abundant number, since it is smaller than the sum of its proper divisors (205640216).

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

145370800 is a wasteful number, since it uses less digits than its factorization.

145370800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 145370800 is about 12056.9813800968. The cubic root of 145370800 is about 525.8062291367.

The spelling of 145370800 in words is "one hundred forty-five million, three hundred seventy thousand, eight hundred".