153199404571356 has 576 divisors, whose sum is σ = 486712674878976. Its totient is φ = 39915826790400.

The previous prime is 153199404571331. The next prime is 153199404571361. The reversal of 153199404571356 is 653175404991351.

153199404571356 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 9 + 9 + 4 + 0 + 4 + 571 + 3 + 56 = 666.

It is a super-2 number, since 2×153199404571356² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153199404571293 and 153199404571302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3968568751 + ... + 3968607353.

It is an arithmetic number, because the mean of its divisors is an integer number (844987282776).

Almost surely, 2^{153199404571356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153199404571356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243356337439488).

153199404571356 is an abundant number, since it is smaller than the sum of its proper divisors (333513270307620).

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

153199404571356 is a wasteful number, since it uses less digits than its factorization.

153199404571356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39122 (or 39117 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 153199404571356 in words is "one hundred fifty-three trillion, one hundred ninety-nine billion, four hundred four million, five hundred seventy-one thousand, three hundred fifty-six".