155266432158240 has 2304 divisors, whose sum is σ = 623867665075200. Its totient is φ = 35029834924032.

The previous prime is 155266432158239. The next prime is 155266432158251. The reversal of 155266432158240 is 42851234662551.

155266432158240 is a `hidden beast` number, since 1 + 5 + 5 + 26 + 6 + 4 + 32 + 1 + 582 + 4 + 0 = 666.

It is a super-3 number, since 3×155266432158240³ (a number of 44 digits) contains 333 as substring.

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, 529919563534 + ... + 529919563826.

It is an arithmetic number, because the mean of its divisors is an integer number (270775896300).

Almost surely, 2^{155266432158240} is an apocalyptic number.

155266432158240 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 155266432158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311933832537600).

155266432158240 is an abundant number, since it is smaller than the sum of its proper divisors (468601232916960).

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

155266432158240 is a wasteful number, since it uses less digits than its factorization.

155266432158240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 155266432158240 in words is "one hundred fifty-five trillion, two hundred sixty-six billion, four hundred thirty-two million, one hundred fifty-eight thousand, two hundred forty".