155903345136 has 560 divisors, whose sum is σ = 597910802688. Its totient is φ = 38108620800.

The previous prime is 155903345099. The next prime is 155903345149. The reversal of 155903345136 is 631543309551.

155903345136 is a `hidden beast` number, since 1 + 5 + 590 + 3 + 3 + 4 + 51 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 155903345091 and 155903345100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15263071 + ... + 15273281.

Almost surely, 2^155903345136 is an apocalyptic number.

155903345136 is a gapful number since it is divisible by the number (16) 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 155903345136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298955401344).

155903345136 is an abundant number, since it is smaller than the sum of its proper divisors (442007457552).

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

155903345136 is a wasteful number, since it uses less digits than its factorization.

155903345136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10272 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 155903345136 in words is "one hundred fifty-five billion, nine hundred three million, three hundred forty-five thousand, one hundred thirty-six".