155319117408 has 720 divisors, whose sum is σ = 580993348320. Its totient is φ = 39856167936.

The previous prime is 155319117307. The next prime is 155319117419. The reversal of 155319117408 is 804711913551.

155319117408 is a `hidden beast` number, since 1 + 5 + 53 + 191 + 1 + 7 + 408 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4197813966 + ... + 4197814002.

It is an arithmetic number, because the mean of its divisors is an integer number (806935206).

Almost surely, 2^155319117408 is an apocalyptic number.

155319117408 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 155319117408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290496674160).

155319117408 is an abundant number, since it is smaller than the sum of its proper divisors (425674230912).

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

155319117408 is an frugal number, since it uses more digits than its factorization.

155319117408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 155319117408 in words is "one hundred fifty-five billion, three hundred nineteen million, one hundred seventeen thousand, four hundred eight".