2135152514304 has 720 divisors, whose sum is σ = 6636933604224. Its totient is φ = 682407936000.

The previous prime is 2135152514303. The next prime is 2135152514333. The reversal of 2135152514304 is 4034152515312.

2135152514304 is a `hidden beast` number, since 2 + 13 + 51 + 52 + 514 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135152514303) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12341921962 + ... + 12341922134.

Almost surely, 2^{2135152514304} is an apocalyptic number.

2135152514304 is a gapful number since it is divisible by the number (24) 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 2135152514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318466802112).

2135152514304 is an abundant number, since it is smaller than the sum of its proper divisors (4501781089920).

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

2135152514304 is a wasteful number, since it uses less digits than its factorization.

2135152514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 2135152514304 in words is "two trillion, one hundred thirty-five billion, one hundred fifty-two million, five hundred fourteen thousand, three hundred four".