151861184640 has 640 divisors, whose sum is σ = 594542773440. Its totient is φ = 36633600000.

The previous prime is 151861184633. The next prime is 151861184647. The reversal of 151861184640 is 46481168151.

151861184640 is a `hidden beast` number, since 1 + 5 + 186 + 1 + 1 + 8 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (151861184633) and next prime (151861184647).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (151861184647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143129710 + ... + 143130770.

Almost surely, 2^151861184640 is an apocalyptic number.

151861184640 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 151861184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297271386720).

151861184640 is an abundant number, since it is smaller than the sum of its proper divisors (442681588800).

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

151861184640 is a wasteful number, since it uses less digits than its factorization.

151861184640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 151861184640 in words is "one hundred fifty-one billion, eight hundred sixty-one million, one hundred eighty-four thousand, six hundred forty".