146048258136000 has 896 divisors, whose sum is σ = 567550084608000. Its totient is φ = 32694165504000.

The previous prime is 146048258135957. The next prime is 146048258136037. The reversal of 146048258136000 is 631852840641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 237557001 + ... + 238170999.

Almost surely, 2^{146048258136000} is an apocalyptic number.

146048258136000 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 146048258136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283775042304000).

146048258136000 is an abundant number, since it is smaller than the sum of its proper divisors (421501826472000).

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

146048258136000 is a wasteful number, since it uses less digits than its factorization.

146048258136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614110 (or 614090 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 146048258136000 in words is "one hundred forty-six trillion, forty-eight billion, two hundred fifty-eight million, one hundred thirty-six thousand".