155273530374400 has 243 divisors, whose sum is σ = 388156153715001. Its totient is φ = 61496536227840.

The previous prime is 155273530374383. The next prime is 155273530374419. The reversal of 155273530374400 is 4473035372551.

The square root of 155273530374400 is 12460880.

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

155273530374400 is digitally balanced in base 2, 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 13 ways, for example, as 139609159559424 + 15664370814976 = 11815632^2 + 3957824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 108658872886 + ... + 108658874314.

Almost surely, 2^{155273530374400} is an apocalyptic number.

155273530374400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155273530374400 is the 12460880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155273530374400

155273530374400 is an abundant number, since it is smaller than the sum of its proper divisors (232882623340601).

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

155273530374400 is an frugal number, since it uses more digits than its factorization.

155273530374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 49.

The spelling of 155273530374400 in words is "one hundred fifty-five trillion, two hundred seventy-three billion, five hundred thirty million, three hundred seventy-four thousand, four hundred".