155755705248 has 288 divisors, whose sum is σ = 536646358080. Its totient is φ = 43567580160.

The previous prime is 155755705241. The next prime is 155755705267. The reversal of 155755705248 is 842507557551.

155755705248 is a `hidden beast` number, since 15 + 5 + 7 + 5 + 570 + 52 + 4 + 8 = 666.

155755705248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×155755705248³ (a number of 35 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 155755705194 and 155755705203.

It is not an unprimeable number, because it can be changed into a prime (155755705241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557690 + ... + 1654662.

It is an arithmetic number, because the mean of its divisors is an integer number (1863355410).

Almost surely, 2^155755705248 is an apocalyptic number.

155755705248 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 155755705248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268323179040).

155755705248 is an abundant number, since it is smaller than the sum of its proper divisors (380890652832).

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

155755705248 is a wasteful number, since it uses less digits than its factorization.

155755705248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97029 (or 97002 counting only the distinct ones).

The product of its (nonzero) digits is 9800000, while the sum is 54.

The spelling of 155755705248 in words is "one hundred fifty-five billion, seven hundred fifty-five million, seven hundred five thousand, two hundred forty-eight".