145600495971840 has 5120 divisors, whose sum is σ = 682153459384320. Its totient is φ = 28619581685760.

The previous prime is 145600495971773. The next prime is 145600495971857. The reversal of 145600495971840 is 48179594006541.

145600495971840 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 0 + 0 + 495 + 97 + 18 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 754406714784 + ... + 754406714976.

It is an arithmetic number, because the mean of its divisors is an integer number (133233097536).

Almost surely, 2^{145600495971840} is an apocalyptic number.

145600495971840 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 145600495971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341076729692160).

145600495971840 is an abundant number, since it is smaller than the sum of its proper divisors (536552963412480).

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

145600495971840 is a wasteful number, since it uses less digits than its factorization.

145600495971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 145600495971840 in words is "one hundred forty-five trillion, six hundred billion, four hundred ninety-five million, nine hundred seventy-one thousand, eight hundred forty".