155152736404848 has 640 divisors, whose sum is σ = 577061765683200. Its totient is φ = 38759332405248.

The previous prime is 155152736404843. The next prime is 155152736404937. The reversal of 155152736404848 is 848404637251551.

155152736404848 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 527 + 3 + 64 + 0 + 4 + 8 + 48 = 666.

155152736404848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×155152736404848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155152736404843) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5838722890 + ... + 5838749462.

It is an arithmetic number, because the mean of its divisors is an integer number (901659008880).

Almost surely, 2^{155152736404848} is an apocalyptic number.

155152736404848 is a gapful number since it is divisible by the number (18) 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 155152736404848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288530882841600).

155152736404848 is an abundant number, since it is smaller than the sum of its proper divisors (421909029278352).

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

155152736404848 is a wasteful number, since it uses less digits than its factorization.

155152736404848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34446 (or 34434 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 155152736404848 in words is "one hundred fifty-five trillion, one hundred fifty-two billion, seven hundred thirty-six million, four hundred four thousand, eight hundred forty-eight".