151662378240 has 360 divisors, whose sum is σ = 543742308648. Its totient is φ = 40363868160.

The previous prime is 151662378221. The next prime is 151662378251. The reversal of 151662378240 is 42873266151.

151662378240 is a `hidden beast` number, since 1 + 5 + 16 + 623 + 7 + 8 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82447082496 + 69215295744 = 287136^2 + 263088^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 39 ways as a sum of consecutive naturals, for example, 68531374 + ... + 68533586.

Almost surely, 2^151662378240 is an apocalyptic number.

151662378240 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 151662378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271871154324).

151662378240 is an abundant number, since it is smaller than the sum of its proper divisors (392079930408).

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

151662378240 is an equidigital number, since it uses as much as digits as its factorization.

151662378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 151662378240 in words is "one hundred fifty-one billion, six hundred sixty-two million, three hundred seventy-eight thousand, two hundred forty".