155206090400 has 576 divisors, whose sum is σ = 430892421120. Its totient is φ = 54344908800.

The previous prime is 155206090399. The next prime is 155206090411. The reversal of 155206090400 is 4090602551.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1222095137 + ... + 1222095263.

It is an arithmetic number, because the mean of its divisors is an integer number (748077120).

Almost surely, 2^155206090400 is an apocalyptic number.

155206090400 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 155206090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215446210560).

155206090400 is an abundant number, since it is smaller than the sum of its proper divisors (275686330720).

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

155206090400 is a wasteful number, since it uses less digits than its factorization.

155206090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

Adding to 155206090400 its reverse (4090602551), we get a palindrome (159296692951).

The spelling of 155206090400 in words is "one hundred fifty-five billion, two hundred six million, ninety thousand, four hundred".