145387200 has 168 divisors, whose sum is σ = 545258752. Its totient is φ = 33223680.

The previous prime is 145387157. The next prime is 145387223. The reversal of 145387200 is 2783541.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×145387200² = 42274875847680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31437 + ... + 35763.

Almost surely, 2^145387200 is an apocalyptic number.

145387200 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 145387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272629376).

145387200 is an abundant number, since it is smaller than the sum of its proper divisors (399871552).

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

145387200 is a wasteful number, since it uses less digits than its factorization.

145387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 145387200 is about 12057.6614648115. The cubic root of 145387200 is about 525.8260013282.

The spelling of 145387200 in words is "one hundred forty-five million, three hundred eighty-seven thousand, two hundred".