145700381736 has 192 divisors, whose sum is σ = 511229846400. Its totient is φ = 36403997184.

The previous prime is 145700381731. The next prime is 145700381741. The reversal of 145700381736 is 637183007541.

145700381736 is a `hidden beast` number, since 1 + 4 + 570 + 0 + 3 + 8 + 1 + 73 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (145700381731) and next prime (145700381741).

It is a super-2 number, since 2×145700381736² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145700381691 and 145700381700.

It is not an unprimeable number, because it can be changed into a prime (145700381731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460711 + ... + 709686.

It is an arithmetic number, because the mean of its divisors is an integer number (2662655450).

Almost surely, 2^145700381736 is an apocalyptic number.

It is an amenable number.

145700381736 is an abundant number, since it is smaller than the sum of its proper divisors (365529464664).

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

145700381736 is a wasteful number, since it uses less digits than its factorization.

145700381736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170448 (or 1170441 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 145700381736 in words is "one hundred forty-five billion, seven hundred million, three hundred eighty-one thousand, seven hundred thirty-six".