153134545431351 has 48 divisors (see below), whose sum is σ = 225641644462080. Its totient is φ = 92307340276800.

The previous prime is 153134545431349. The next prime is 153134545431391.

It is a happy number.

153134545431351 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 153134545431351 - 2¹ = 153134545431349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 153134545431351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153134545431331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417825486 + ... + 418191828.

It is an arithmetic number, because the mean of its divisors is an integer number (4700867592960).

Almost surely, 2^{153134545431351} is an apocalyptic number.

153134545431351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

153134545431351 is a deficient number, since it is larger than the sum of its proper divisors (72507099030729).

153134545431351 is a wasteful number, since it uses less digits than its factorization.

153134545431351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372588 (or 372577 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The spelling of 153134545431351 in words is "one hundred fifty-three trillion, one hundred thirty-four billion, five hundred forty-five million, four hundred thirty-one thousand, three hundred fifty-one".