155112103414400 has 384 divisors, whose sum is σ = 429459960303360. Its totient is φ = 54860411289600.

The previous prime is 155112103414381. The next prime is 155112103414427. The reversal of 155112103414400 is 4414301211551.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3937135502 + ... + 3937174898.

It is an arithmetic number, because the mean of its divisors is an integer number (1118385313290).

Almost surely, 2^{155112103414400} is an apocalyptic number.

155112103414400 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 155112103414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214729980151680).

155112103414400 is an abundant number, since it is smaller than the sum of its proper divisors (274347856888960).

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

155112103414400 is a wasteful number, since it uses less digits than its factorization.

155112103414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42492 (or 42475 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 155112103414400 its reverse (4414301211551), we get a palindrome (159526404625951).

The spelling of 155112103414400 in words is "one hundred fifty-five trillion, one hundred twelve billion, one hundred three million, four hundred fourteen thousand, four hundred".