1542001578345 has 24 divisors (see below), whose sum is σ = 2673313513416. Its totient is φ = 822243679488.

The previous prime is 1542001578343. The next prime is 1542001578353. The reversal of 1542001578345 is 5438751002451.

1542001578345 is a `hidden beast` number, since 1 + 5 + 42 + 0 + 0 + 1 + 578 + 34 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 478852928064 + 1063148650281 = 691992^2 + 1031091^2 .

It is not a de Polignac number, because 1542001578345 - 2¹ = 1542001578343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1542001578345.

It is not an unprimeable number, because it can be changed into a prime (1542001578343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3035932 + ... + 3507261.

It is an arithmetic number, because the mean of its divisors is an integer number (111388063059).

Almost surely, 2^{1542001578345} is an apocalyptic number.

1542001578345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1542001578345 is a deficient number, since it is larger than the sum of its proper divisors (1131311935071).

1542001578345 is a wasteful number, since it uses less digits than its factorization.

1542001578345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6548441 (or 6548438 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 1542001578345 in words is "one trillion, five hundred forty-two billion, one million, five hundred seventy-eight thousand, three hundred forty-five".