145147600 has 120 divisors (see below), whose sum is σ = 380586752. Its totient is φ = 52876800.

The previous prime is 145147589. The next prime is 145147601. The reversal of 145147600 is 6741541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145147601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535465 + ... + 535735.

Almost surely, 2^145147600 is an apocalyptic number.

145147600 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 145147600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190293376).

145147600 is an abundant number, since it is smaller than the sum of its proper divisors (235439152).

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

145147600 is a wasteful number, since it uses less digits than its factorization.

145147600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

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

The square root of 145147600 is about 12047.7217763360. The cubic root of 145147600 is about 525.5369864694.

The spelling of 145147600 in words is "one hundred forty-five million, one hundred forty-seven thousand, six hundred".