155006400 has 168 divisors, whose sum is σ = 521069824. Its totient is φ = 40320000.

The previous prime is 155006377. The next prime is 155006461. The reversal of 155006400 is 4600551.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206025 + ... + 206775.

Almost surely, 2^155006400 is an apocalyptic number.

155006400 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 155006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260534912).

155006400 is an abundant number, since it is smaller than the sum of its proper divisors (366063424).

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

155006400 is a wasteful number, since it uses less digits than its factorization.

155006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 155006400 is about 12450.1566255208. The cubic root of 155006400 is about 537.1759286801.

Adding to 155006400 its reverse (4600551), we get a palindrome (159606951).

The spelling of 155006400 in words is "one hundred fifty-five million, six thousand, four hundred".