155109945600 has 405 divisors, whose sum is σ = 574562527077. Its totient is φ = 41287034880.

The previous prime is 155109945581. The next prime is 155109945629. The reversal of 155109945600 is 6549901551.

It is a happy number.

The square root of 155109945600 is 393840.

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

155109945600 is a `hidden beast` number, since 1 + 5 + 510 + 99 + 45 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55839580416 + 99270365184 = 236304^2 + 315072^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 283564527 + ... + 283565073.

Almost surely, 2^155109945600 is an apocalyptic number.

155109945600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155109945600 is the 393840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155109945600

155109945600 is an abundant number, since it is smaller than the sum of its proper divisors (419452581477).

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

155109945600 is an frugal number, since it uses more digits than its factorization.

155109945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 155109945600 in words is "one hundred fifty-five billion, one hundred nine million, nine hundred forty-five thousand, six hundred".