155153304541440 has 288 divisors, whose sum is σ = 556254821928960. Its totient is φ = 40947675365376.

The previous prime is 155153304541429. The next prime is 155153304541451. The reversal of 155153304541440 is 44145403351551.

155153304541440 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 53 + 3 + 0 + 454 + 144 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (155153304541429) and next prime (155153304541451).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×155153304541440² (a number of 29 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 19788864 + ... + 26493503.

It is an arithmetic number, because the mean of its divisors is an integer number (1931440353920).

Almost surely, 2^{155153304541440} is an apocalyptic number.

155153304541440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155153304541440 is an abundant number, since it is smaller than the sum of its proper divisors (401101517387520).

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

155153304541440 is an equidigital number, since it uses as much as digits as its factorization.

155153304541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46282494 (or 46282474 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 155153304541440 its reverse (44145403351551), we get a palindrome (199298707892991).

The spelling of 155153304541440 in words is "one hundred fifty-five trillion, one hundred fifty-three billion, three hundred four million, five hundred forty-one thousand, four hundred forty".