155248236000 has 1152 divisors, whose sum is σ = 660672754560. Its totient is φ = 34025472000.

The previous prime is 155248235993. The next prime is 155248236001. The reversal of 155248236000 is 632842551.

155248236000 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 48 + 2 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×155248236000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155248236001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 272843716 + ... + 272844284.

It is an arithmetic number, because the mean of its divisors is an integer number (573500655).

Almost surely, 2^155248236000 is an apocalyptic number.

155248236000 is a gapful number since it is divisible by the number (10) 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 155248236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330336377280).

155248236000 is an abundant number, since it is smaller than the sum of its proper divisors (505424518560).

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

155248236000 is a wasteful number, since it uses less digits than its factorization.

155248236000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 155248236000 in words is "one hundred fifty-five billion, two hundred forty-eight million, two hundred thirty-six thousand".