1534150945440 has 144 divisors (see below), whose sum is σ = 5244863708448. Its totient is φ = 408358798848.

The previous prime is 1534150945429. The next prime is 1534150945493. The reversal of 1534150945440 is 445490514351.

1534150945440 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 15 + 0 + 94 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 186162 + ... + 1761521.

It is an arithmetic number, because the mean of its divisors is an integer number (36422664642).

Almost surely, 2^{1534150945440} is an apocalyptic number.

1534150945440 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 1534150945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622431854224).

1534150945440 is an abundant number, since it is smaller than the sum of its proper divisors (3710712763008).

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

1534150945440 is a wasteful number, since it uses less digits than its factorization.

1534150945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948251 (or 1948240 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 1534150945440 in words is "one trillion, five hundred thirty-four billion, one hundred fifty million, nine hundred forty-five thousand, four hundred forty".