153141363141351 has 48 divisors (see below), whose sum is σ = 235680802480800. Its totient is φ = 88101975736320.

The previous prime is 153141363141343. The next prime is 153141363141359.

153141363141351 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (153141363141343) and next prime (153141363141359).

It is not a de Polignac number, because 153141363141351 - 2³ = 153141363141343 is a prime.

It is a super-2 number, since 2×153141363141351² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153141363141359) 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, 58339530 + ... + 60907991.

It is an arithmetic number, because the mean of its divisors is an integer number (4910016718350).

Almost surely, 2^{153141363141351} is an apocalyptic number.

153141363141351 is a deficient number, since it is larger than the sum of its proper divisors (82539439339449).

153141363141351 is a wasteful number, since it uses less digits than its factorization.

153141363141351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119247716 (or 119247703 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The spelling of 153141363141351 in words is "one hundred fifty-three trillion, one hundred forty-one billion, three hundred sixty-three million, one hundred forty-one thousand, three hundred fifty-one".