145156440 has 192 divisors, whose sum is σ = 516146400. Its totient is φ = 32440320.

The previous prime is 145156399. The next prime is 145156457. The reversal of 145156440 is 44651541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145156398 and 145156407.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 188376 + ... + 189144.

Almost surely, 2^145156440 is an apocalyptic number.

145156440 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 145156440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258073200).

145156440 is an abundant number, since it is smaller than the sum of its proper divisors (370989960).

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

145156440 is a wasteful number, since it uses less digits than its factorization.

145156440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 145156440 is about 12048.0886450922. The cubic root of 145156440 is about 525.5476552705.

The spelling of 145156440 in words is "one hundred forty-five million, one hundred fifty-six thousand, four hundred forty".