145142496 has 96 divisors (see below), whose sum is σ = 437068800. Its totient is φ = 46811520.

The previous prime is 145142483. The next prime is 145142497. The reversal of 145142496 is 694241541.

145142496 is a `hidden beast` number, since 145 + 1 + 424 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145142496² = 42132688290220032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145142496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145142497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24075 + ... + 29493.

It is an arithmetic number, because the mean of its divisors is an integer number (4552800).

Almost surely, 2^145142496 is an apocalyptic number.

145142496 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 145142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218534400).

145142496 is an abundant number, since it is smaller than the sum of its proper divisors (291926304).

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

145142496 is a wasteful number, since it uses less digits than its factorization.

145142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5469 (or 5455 counting only the distinct ones).

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

The square root of 145142496 is about 12047.5099501930. The cubic root of 145142496 is about 525.5308263670.

The spelling of 145142496 in words is "one hundred forty-five million, one hundred forty-two thousand, four hundred ninety-six".