145295136 has 144 divisors (see below), whose sum is σ = 477719424. Its totient is φ = 41029632.

The previous prime is 145295123. The next prime is 145295167. The reversal of 145295136 is 631592541.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×145295136² = 42221353090516992, 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 145295136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195181 + ... + 195923.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^145295136 is an apocalyptic number.

145295136 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 145295136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238859712).

145295136 is an abundant number, since it is smaller than the sum of its proper divisors (332424288).

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

145295136 is a wasteful number, since it uses less digits than its factorization.

145295136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 852 counting only the distinct ones).

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

The square root of 145295136 is about 12053.8432045551. The cubic root of 145295136 is about 525.7149877342.

The spelling of 145295136 in words is "one hundred forty-five million, two hundred ninety-five thousand, one hundred thirty-six".