145333600 has 36 divisors (see below), whose sum is σ = 354797604. Its totient is φ = 58133120.

The previous prime is 145333597. The next prime is 145333607. The reversal of 145333600 is 6333541.

It is a super-2 number, since 2×145333600² = 42243710577920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145333607) 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, 90034 + ... + 91633.

It is an arithmetic number, because the mean of its divisors is an integer number (9855489).

Almost surely, 2^145333600 is an apocalyptic number.

145333600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145333600 is an abundant number, since it is smaller than the sum of its proper divisors (209464004).

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

145333600 is a wasteful number, since it uses less digits than its factorization.

145333600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181687 (or 181674 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 145333600 is about 12055.4386067036. The cubic root of 145333600 is about 525.7613745065.

It can be divided in two parts, 1453 and 33600, that added together give a palindrome (35053).

The spelling of 145333600 in words is "one hundred forty-five million, three hundred thirty-three thousand, six hundred".