145297152 has 540 divisors, whose sum is σ = 592093656. Its totient is φ = 34836480.

The previous prime is 145297151. The next prime is 145297157. The reversal of 145297152 is 251792541.

145297152 is a `hidden beast` number, since 14 + 529 + 71 + 52 = 666.

It is a super-2 number, since 2×145297152² = 42222524758622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25200) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145297151) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11176698 + ... + 11176710.

Almost surely, 2^145297152 is an apocalyptic number.

145297152 is a gapful number since it is divisible by the number (12) 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 145297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296046828).

145297152 is an abundant number, since it is smaller than the sum of its proper divisors (446796504).

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

145297152 is a wasteful number, since it uses less digits than its factorization.

145297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 145297152 is about 12053.9268290462. The cubic root of 145297152 is about 525.7174191910.

The spelling of 145297152 in words is "one hundred forty-five million, two hundred ninety-seven thousand, one hundred fifty-two".