145452672 has 80 divisors (see below), whose sum is σ = 432895650. Its totient is φ = 48480768.

The previous prime is 145452653. The next prime is 145452673. The reversal of 145452672 is 276254541.

It is a happy number.

145452672 is a `hidden beast` number, since 14 + 54 + 526 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 144576576 + 876096 = 12024^2 + 936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (145452673) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3354 + ... + 17382.

Almost surely, 2^145452672 is an apocalyptic number.

145452672 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 145452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216447825).

145452672 is an abundant number, since it is smaller than the sum of its proper divisors (287442978).

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

145452672 is an equidigital number, since it uses as much as digits as its factorization.

145452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14055 (or 14034 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 145452672 is about 12060.3761135381. The cubic root of 145452672 is about 525.9049209613.

The spelling of 145452672 in words is "one hundred forty-five million, four hundred fifty-two thousand, six hundred seventy-two".