147640101504 has 384 divisors, whose sum is σ = 477799171200. Its totient is φ = 40199233536.

The previous prime is 147640101503. The next prime is 147640101517. The reversal of 147640101504 is 405101046741.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×147640101504² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147640101503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168346314 + ... + 168347190.

It is an arithmetic number, because the mean of its divisors is an integer number (1244268675).

Almost surely, 2^147640101504 is an apocalyptic number.

147640101504 is a gapful number since it is divisible by the number (14) 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 147640101504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238899585600).

147640101504 is an abundant number, since it is smaller than the sum of its proper divisors (330159069696).

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

147640101504 is a wasteful number, since it uses less digits than its factorization.

147640101504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 147640101504 in words is "one hundred forty-seven billion, six hundred forty million, one hundred one thousand, five hundred four".