145011464040 has 128 divisors (see below), whose sum is σ = 463383970560. Its totient is φ = 36177014784.

The previous prime is 145011464033. The next prime is 145011464041. The reversal of 145011464040 is 40464110541.

145011464040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 145011463989 and 145011464007.

It is not an unprimeable number, because it can be changed into a prime (145011464041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127854 + ... + 553506.

It is an arithmetic number, because the mean of its divisors is an integer number (3620187270).

Almost surely, 2^145011464040 is an apocalyptic number.

145011464040 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 145011464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231691985280).

145011464040 is an abundant number, since it is smaller than the sum of its proper divisors (318372506520).

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

145011464040 is a wasteful number, since it uses less digits than its factorization.

145011464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425851 (or 425847 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 145011464040 its reverse (40464110541), we get a palindrome (185475574581).

The spelling of 145011464040 in words is "one hundred forty-five billion, eleven million, four hundred sixty-four thousand, forty".