145756751471000 has 64 divisors (see below), whose sum is σ = 341072644423680. Its totient is φ = 58302385036800.

The previous prime is 145756751470987. The next prime is 145756751471047. The reversal of 145756751471000 is 174157657541.

It is a happy number.

It is a super-3 number, since 3×145756751471000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 295066217 + ... + 295559783.

It is an arithmetic number, because the mean of its divisors is an integer number (5329260069120).

Almost surely, 2^{145756751471000} is an apocalyptic number.

145756751471000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145756751471000 is an abundant number, since it is smaller than the sum of its proper divisors (195315892952680).

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

145756751471000 is a wasteful number, since it uses less digits than its factorization.

145756751471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788901 (or 788887 counting only the distinct ones).

The product of its (nonzero) digits is 4116000, while the sum is 53.

The spelling of 145756751471000 in words is "one hundred forty-five trillion, seven hundred fifty-six billion, seven hundred fifty-one million, four hundred seventy-one thousand".