155461672800 has 324 divisors, whose sum is σ = 637699676796. Its totient is φ = 35534016000.

The previous prime is 155461672763. The next prime is 155461672823. The reversal of 155461672800 is 8276164551.

155461672800 is a `hidden beast` number, since 1 + 5 + 5 + 4 + 616 + 7 + 28 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 132475 + ... + 573125.

It is an arithmetic number, because the mean of its divisors is an integer number (1968208879).

Almost surely, 2^155461672800 is an apocalyptic number.

155461672800 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 155461672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318849838398).

155461672800 is an abundant number, since it is smaller than the sum of its proper divisors (482238003996).

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

155461672800 is a wasteful number, since it uses less digits than its factorization.

155461672800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440691 (or 440668 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 155461672800 in words is "one hundred fifty-five billion, four hundred sixty-one million, six hundred seventy-two thousand, eight hundred".