151843151370240 has 3456 divisors, whose sum is σ = 638531846184960. Its totient is φ = 34598477168640.

The previous prime is 151843151370199. The next prime is 151843151370247. The reversal of 151843151370240 is 42073151348151.

151843151370240 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 4 + 31 + 5 + 1 + 370 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151843151370247) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1195615365057 + ... + 1195615365183.

It is an arithmetic number, because the mean of its divisors is an integer number (184760372160).

Almost surely, 2^{151843151370240} is an apocalyptic number.

151843151370240 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 151843151370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319265923092480).

151843151370240 is an abundant number, since it is smaller than the sum of its proper divisors (486688694814720).

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

151843151370240 is an equidigital number, since it uses as much as digits as its factorization.

151843151370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 151843151370240 in words is "one hundred fifty-one trillion, eight hundred forty-three billion, one hundred fifty-one million, three hundred seventy thousand, two hundred forty".