145872000 has 192 divisors, whose sum is σ = 524379960. Its totient is φ = 38860800.

The previous prime is 145871993. The next prime is 145872007. The reversal of 145872000 is 278541.

145872000 is a `hidden beast` number, since 1 + 458 + 7 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145871993) and next prime (145872007).

It can be written as a sum of positive squares in 4 ways, for example, as 5875776 + 139996224 = 2424^2 + 11832^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (145872007) 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, 143494 + ... + 144506.

Almost surely, 2^145872000 is an apocalyptic number.

145872000 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 145872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262189980).

145872000 is an abundant number, since it is smaller than the sum of its proper divisors (378507960).

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

145872000 is a wasteful number, since it uses less digits than its factorization.

145872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 145872000 is about 12077.7481344827. The cubic root of 145872000 is about 526.4098161835.

The spelling of 145872000 in words is "one hundred forty-five million, eight hundred seventy-two thousand".