155006040000000 has 1280 divisors, whose sum is σ = 594975276859392. Its totient is φ = 35126784000000.

The previous prime is 155006039999957. The next prime is 155006040000043. The reversal of 155006040000000 is 40600551.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (155006039999957) and next prime (155006040000043).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106679999274 + ... + 106680000726.

Almost surely, 2^{155006040000000} is an apocalyptic number.

155006040000000 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 155006040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297487638429696).

155006040000000 is an abundant number, since it is smaller than the sum of its proper divisors (439969236859392).

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

155006040000000 is an frugal number, since it uses more digits than its factorization.

155006040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1597 counting only the distinct ones).

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

Adding to 155006040000000 its reverse (40600551), we get a palindrome (155006080600551).

The spelling of 155006040000000 in words is "one hundred fifty-five trillion, six billion, forty million", and thus it is an aban number.