1534106508390 has 128 divisors (see below), whose sum is σ = 4311508147200. Its totient is φ = 387091768320.

The previous prime is 1534106508323. The next prime is 1534106508397. The reversal of 1534106508390 is 938056014351.

1534106508390 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 106 + 508 + 39 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1534106508397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4040310 + ... + 4403670.

It is an arithmetic number, because the mean of its divisors is an integer number (33683657400).

Almost surely, 2^{1534106508390} is an apocalyptic number.

1534106508390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1534106508390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155754073600).

1534106508390 is an abundant number, since it is smaller than the sum of its proper divisors (2777401638810).

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

1534106508390 is a wasteful number, since it uses less digits than its factorization.

1534106508390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364219 (or 364213 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1534106508390 in words is "one trillion, five hundred thirty-four billion, one hundred six million, five hundred eight thousand, three hundred ninety".