145127640 has 128 divisors (see below), whose sum is σ = 526901760. Its totient is φ = 31217664.

The previous prime is 145127627. The next prime is 145127641. The reversal of 145127640 is 46721541.

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 = 145127598 and 145127607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145127641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9199 + ... + 19361.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2^145127640 is an apocalyptic number.

145127640 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 145127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

145127640 is an abundant number, since it is smaller than the sum of its proper divisors (381774120).

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

145127640 is a wasteful number, since it uses less digits than its factorization.

145127640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10197 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 145127640 is about 12046.8933754724. The cubic root of 145127640 is about 525.5128955920.

The spelling of 145127640 in words is "one hundred forty-five million, one hundred twenty-seven thousand, six hundred forty".