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136932091920 = 243351341831433
BaseRepresentation
bin111111110000111001…
…0011110100000010000
3111002110000220000001000
41333201302132200100
54220414103420140
6142523345542000
712615206401611
oct1774162364020
9432400800030
10136932091920
1153088661418
1222656344900
13cbb30c2180
1468addc9c08
153866716a30
hex1fe1c9e810

136932091920 has 640 divisors, whose sum is σ = 526961272320. Its totient is φ = 32465387520.

The previous prime is 136932091847. The next prime is 136932091927. The reversal of 136932091920 is 29190239631.

136932091920 is a `hidden beast` number, since 136 + 9 + 320 + 9 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (136932091927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95555524 + ... + 95556956.

It is an arithmetic number, because the mean of its divisors is an integer number (823376988).

Almost surely, 2136932091920 is an apocalyptic number.

136932091920 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 136932091920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263480636160).

136932091920 is an abundant number, since it is smaller than the sum of its proper divisors (390029180400).

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

136932091920 is a wasteful number, since it uses less digits than its factorization.

136932091920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 136932091920 in words is "one hundred thirty-six billion, nine hundred thirty-two million, ninety-one thousand, nine hundred twenty".