145356192 has 72 divisors (see below), whose sum is σ = 416445120. Its totient is φ = 48090240.

The previous prime is 145356181. The next prime is 145356217. The reversal of 145356192 is 291653541.

145356192 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 561 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×145356192² = 42256845105481728, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38217 + ... + 41847.

It is an arithmetic number, because the mean of its divisors is an integer number (5783960).

Almost surely, 2^145356192 is an apocalyptic number.

145356192 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 145356192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208222560).

145356192 is an abundant number, since it is smaller than the sum of its proper divisors (271088928).

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

145356192 is a wasteful number, since it uses less digits than its factorization.

145356192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3775 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 145356192 is about 12056.3755747737. The cubic root of 145356192 is about 525.7886161665.

The spelling of 145356192 in words is "one hundred forty-five million, three hundred fifty-six thousand, one hundred ninety-two".