151605780480 has 1344 divisors, whose sum is σ = 674717472000. Its totient is φ = 31213486080.

The previous prime is 151605780467. The next prime is 151605780497. The reversal of 151605780480 is 84087506151.

151605780480 is a `hidden beast` number, since 1 + 5 + 160 + 5 + 7 + 8 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1390878666 + ... + 1390878774.

Almost surely, 2^151605780480 is an apocalyptic number.

151605780480 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 151605780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337358736000).

151605780480 is an abundant number, since it is smaller than the sum of its proper divisors (523111691520).

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

151605780480 is a wasteful number, since it uses less digits than its factorization.

151605780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 151605780480 in words is "one hundred fifty-one billion, six hundred five million, seven hundred eighty thousand, four hundred eighty".