36148155120 has 1920 divisors, whose sum is σ = 174708817920. Its totient is φ = 6718464000.

The previous prime is 36148155119. The next prime is 36148155133. The reversal of 36148155120 is 2155184163.

36148155120 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 81 + 551 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 881662300 + ... + 881662340.

It is an arithmetic number, because the mean of its divisors is an integer number (90994176).

Almost surely, 2^36148155120 is an apocalyptic number.

36148155120 is a gapful number since it is divisible by the number (30) 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 36148155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87354408960).

36148155120 is an abundant number, since it is smaller than the sum of its proper divisors (138560662800).

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

36148155120 is a wasteful number, since it uses less digits than its factorization.

36148155120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 36148155120 in words is "thirty-six billion, one hundred forty-eight million, one hundred fifty-five thousand, one hundred twenty".