155403100944 has 675 divisors, whose sum is σ = 578264212773. Its totient is φ = 38828305152.

The previous prime is 155403100927. The next prime is 155403100969. The reversal of 155403100944 is 449001304551.

It is a happy number.

The square root of 155403100944 is 394212.

It is a perfect power (a square), and thus also a powerful number.

155403100944 is a `hidden beast` number, since 1 + 5 + 540 + 3 + 100 + 9 + 4 + 4 = 666.

155403100944 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22988624400 + 132414476544 = 151620^2 + 363888^2 .

It is a super-2 number, since 2×155403100944² (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 junction number, because it is equal to n+sod(n) for n = 155403100899 and 155403100908.

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 134 ways as a sum of consecutive naturals, for example, 8179110567 + ... + 8179110585.

Almost surely, 2^155403100944 is an apocalyptic number.

155403100944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

155403100944 is the 394212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155403100944

155403100944 is an abundant number, since it is smaller than the sum of its proper divisors (422861111829).

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

155403100944 is an equidigital number, since it uses as much as digits as its factorization.

155403100944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 155403100944 by its sum of digits (36), we get a square (5594511633984 = 2365272²).

155403100944 divided by its sum of digits (36) gives a square (4316752804 = 65702²).

The spelling of 155403100944 in words is "one hundred fifty-five billion, four hundred three million, one hundred thousand, nine hundred forty-four".