151375431240 has 384 divisors, whose sum is σ = 567494553600. Its totient is φ = 34608591360.

The previous prime is 151375431211. The next prime is 151375431269. The reversal of 151375431240 is 42134573151.

151375431240 is a `hidden beast` number, since 1 + 5 + 1 + 375 + 43 + 1 + 240 = 666.

151375431240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151375431211) and next prime (151375431269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151375431195 and 151375431204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17075049 + ... + 17083911.

It is an arithmetic number, because the mean of its divisors is an integer number (1477850400).

Almost surely, 2^151375431240 is an apocalyptic number.

151375431240 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 151375431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283747276800).

151375431240 is an abundant number, since it is smaller than the sum of its proper divisors (416119122360).

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

151375431240 is a wasteful number, since it uses less digits than its factorization.

151375431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9137 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 151375431240 in words is "one hundred fifty-one billion, three hundred seventy-five million, four hundred thirty-one thousand, two hundred forty".