155454936000 has 1792 divisors, whose sum is σ = 690180341760. Its totient is φ = 29904076800.

The previous prime is 155454935971. The next prime is 155454936029. The reversal of 155454936000 is 639454551.

It is an interprime number because it is at equal distance from previous prime (155454935971) and next prime (155454936029).

It is a super-3 number, since 3×155454936000³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1967783961 + ... + 1967784039.

It is an arithmetic number, because the mean of its divisors is an integer number (385145280).

Almost surely, 2^155454936000 is an apocalyptic number.

155454936000 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 155454936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345090170880).

155454936000 is an abundant number, since it is smaller than the sum of its proper divisors (534725405760).

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

155454936000 is a wasteful number, since it uses less digits than its factorization.

155454936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 155454936000 in words is "one hundred fifty-five billion, four hundred fifty-four million, nine hundred thirty-six thousand".