151265758800 has 480 divisors, whose sum is σ = 538373541888. Its totient is φ = 36070594560.

The previous prime is 151265758799. The next prime is 151265758801. The reversal of 151265758800 is 8857562151.

It is an interprime number because it is at equal distance from previous prime (151265758799) and next prime (151265758801).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 151265758800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151265758801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75518599 + ... + 75520601.

Almost surely, 2^151265758800 is an apocalyptic number.

151265758800 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 151265758800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269186770944).

151265758800 is an abundant number, since it is smaller than the sum of its proper divisors (387107783088).

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

151265758800 is a wasteful number, since it uses less digits than its factorization.

151265758800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 48.

The spelling of 151265758800 in words is "one hundred fifty-one billion, two hundred sixty-five million, seven hundred fifty-eight thousand, eight hundred".