145412496 has 200 divisors, whose sum is σ = 449669880. Its totient is φ = 45287424.

The previous prime is 145412459. The next prime is 145412497. The reversal of 145412496 is 694214541.

145412496 is a `hidden beast` number, since 1 + 4 + 541 + 24 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 105267600 = 6336^2 + 10260^2 .

It is a super-2 number, since 2×145412496² = 42289587985900032, 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 (34560) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 145412496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145412497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1991916 + ... + 1991988.

Almost surely, 2^145412496 is an apocalyptic number.

145412496 is a gapful number since it is divisible by the number (16) 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 145412496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224834940).

145412496 is an abundant number, since it is smaller than the sum of its proper divisors (304257384).

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

145412496 is a wasteful number, since it uses less digits than its factorization.

145412496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 160 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 145412496 is about 12058.7103788092. The cubic root of 145412496 is about 525.8564958128.

The spelling of 145412496 in words is "one hundred forty-five million, four hundred twelve thousand, four hundred ninety-six".