155072250144 has 672 divisors, whose sum is σ = 555984092160. Its totient is φ = 41570496000.

The previous prime is 155072250133. The next prime is 155072250167. The reversal of 155072250144 is 441052270551.

155072250144 is a `hidden beast` number, since 1 + 5 + 507 + 2 + 2 + 5 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 155072250099 and 155072250108.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 468496059 + ... + 468496389.

It is an arithmetic number, because the mean of its divisors is an integer number (827357280).

Almost surely, 2^155072250144 is an apocalyptic number.

155072250144 is a gapful number since it is divisible by the number (14) 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 155072250144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277992046080).

155072250144 is an abundant number, since it is smaller than the sum of its proper divisors (400911842016).

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

155072250144 is a wasteful number, since it uses less digits than its factorization.

155072250144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 155072250144 in words is "one hundred fifty-five billion, seventy-two million, two hundred fifty thousand, one hundred forty-four".