151571204093952 has 192 divisors, whose sum is σ = 449007684652800. Its totient is φ = 50521769533440.

The previous prime is 151571204093909. The next prime is 151571204093957. The reversal of 151571204093952 is 259390402175151.

151571204093952 is a `hidden beast` number, since 1 + 5 + 1 + 571 + 20 + 40 + 9 + 3 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151571204093957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2392681543 + ... + 2392744889.

It is an arithmetic number, because the mean of its divisors is an integer number (2338581690900).

Almost surely, 2^{151571204093952} is an apocalyptic number.

151571204093952 is a gapful number since it is divisible by the number (12) 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 151571204093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224503842326400).

151571204093952 is an abundant number, since it is smaller than the sum of its proper divisors (297436480558848).

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

151571204093952 is an equidigital number, since it uses as much as digits as its factorization.

151571204093952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106649 (or 106623 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 151571204093952 in words is "one hundred fifty-one trillion, five hundred seventy-one billion, two hundred four million, ninety-three thousand, nine hundred fifty-two".