145978035840 has 1536 divisors, whose sum is σ = 660507609600. Its totient is φ = 29812064256.

The previous prime is 145978035821. The next prime is 145978035893. The reversal of 145978035840 is 48530879541.

145978035840 is a `hidden beast` number, since 1 + 4 + 59 + 7 + 8 + 0 + 3 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 756362784 + ... + 756362976.

It is an arithmetic number, because the mean of its divisors is an integer number (430017975).

Almost surely, 2^145978035840 is an apocalyptic number.

145978035840 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 145978035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330253804800).

145978035840 is an abundant number, since it is smaller than the sum of its proper divisors (514529573760).

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

145978035840 is a wasteful number, since it uses less digits than its factorization.

145978035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 145978035840 in words is "one hundred forty-five billion, nine hundred seventy-eight million, thirty-five thousand, eight hundred forty".