133177742742000 has 480 divisors, whose sum is σ = 472766118656832. Its totient is φ = 32229457920000.

The previous prime is 133177742741947. The next prime is 133177742742001. The reversal of 133177742742000 is 247247771331.

It is a super-2 number, since 2×133177742742000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133177742742001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418743040 + ... + 419060960.

Almost surely, 2^{133177742742000} is an apocalyptic number.

133177742742000 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 133177742742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236383059328416).

133177742742000 is an abundant number, since it is smaller than the sum of its proper divisors (339588375914832).

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

133177742742000 is a wasteful number, since it uses less digits than its factorization.

133177742742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318546 (or 318519 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

The spelling of 133177742742000 in words is "one hundred thirty-three trillion, one hundred seventy-seven billion, seven hundred forty-two million, seven hundred forty-two thousand".